61858944 has 128 divisors (see below), whose sum is σ = 208732800. Its totient is φ = 17667072.

The previous prime is 61858939. The next prime is 61858949. The reversal of 61858944 is 44985816.

61858944 is a `hidden beast` number, since 61 + 8 + 589 + 4 + 4 = 666.

61858944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61858939) and next prime (61858949).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 61858944.

It is not an unprimeable number, because it can be changed into a prime (61858949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22914 + ... + 25470.

It is an arithmetic number, because the mean of its divisors is an integer number (1630725).

Almost surely, 2^61858944 is an apocalyptic number.

61858944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61858944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104366400).

61858944 is an abundant number, since it is smaller than the sum of its proper divisors (146873856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61858944 is a wasteful number, since it uses less digits than its factorization.

61858944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2569 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 61858944 is about 7865.0457087038. The cubic root of 61858944 is about 395.4887801732.

It can be divided in two parts, 6185 and 8944, that added together give a square (15129 = 123²).

The spelling of 61858944 in words is "sixty-one million, eight hundred fifty-eight thousand, nine hundred forty-four".