61859872 has 36 divisors (see below), whose sum is σ = 129391290. Its totient is φ = 29106176.

The previous prime is 61859867. The next prime is 61859873. The reversal of 61859872 is 27895816.

61859872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 61402896 + 456976 = 7836^2 + 676^2 .

It is not an unprimeable number, because it can be changed into a prime (61859873) 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 5 ways as a sum of consecutive naturals, for example, 5904 + ... + 12592.

Almost surely, 2^61859872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61859872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64695645).

61859872 is an abundant number, since it is smaller than the sum of its proper divisors (67531418).

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

61859872 is a wasteful number, since it uses less digits than its factorization.

61859872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6733 (or 6708 counting only the distinct ones).

The product of its digits is 241920, while the sum is 46.

The square root of 61859872 is about 7865.1047036896. The cubic root of 61859872 is about 395.4907578540.

The spelling of 61859872 in words is "sixty-one million, eight hundred fifty-nine thousand, eight hundred seventy-two".