61845888 has 96 divisors (see below), whose sum is σ = 178073640. Its totient is φ = 19009536.

The previous prime is 61845863. The next prime is 61845913. The reversal of 61845888 is 88854816.

61845888 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 (61845863) and next prime (61845913).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 64420 + ... + 65372.

Almost surely, 2^61845888 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 61845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89036820).

61845888 is an abundant number, since it is smaller than the sum of its proper divisors (116227752).

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

61845888 is a wasteful number, since it uses less digits than its factorization.

61845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 971 counting only the distinct ones).

The product of its digits is 491520, while the sum is 48.

The square root of 61845888 is about 7864.2156633704. The cubic root of 61845888 is about 395.4609541521.

The spelling of 61845888 in words is "sixty-one million, eight hundred forty-five thousand, eight hundred eighty-eight".