59640896 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 23347200.

The previous prime is 59640887. The next prime is 59640941. The reversal of 59640896 is 69804695.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 59640896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312161 + ... + 312351.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 2^59640896 is an apocalyptic number.

59640896 is a gapful number since it is divisible by the number (56) 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 59640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

59640896 is an abundant number, since it is smaller than the sum of its proper divisors (87833536).

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

59640896 is a wasteful number, since it uses less digits than its factorization.

59640896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The square root of 59640896 is about 7722.7518411509. The cubic root of 59640896 is about 390.7041759592.

The spelling of 59640896 in words is "fifty-nine million, six hundred forty thousand, eight hundred ninety-six".