61600896 has 96 divisors (see below), whose sum is σ = 202612800. Its totient is φ = 17597952.

The previous prime is 61600883. The next prime is 61600963. The reversal of 61600896 is 69800616.

61600896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 61600896.

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, 4245 + ... + 11883.

It is an arithmetic number, because the mean of its divisors is an integer number (2110550).

Almost surely, 2^61600896 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 61600896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101306400).

61600896 is an abundant number, since it is smaller than the sum of its proper divisors (141011904).

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

61600896 is a wasteful number, since it uses less digits than its factorization.

61600896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 61600896 is about 7848.6238284173. The cubic root of 61600896 is about 394.9380792752.

The spelling of 61600896 in words is "sixty-one million, six hundred thousand, eight hundred ninety-six".