59936640 has 256 divisors, whose sum is σ = 211507200. Its totient is φ = 14376960.

The previous prime is 59936599. The next prime is 59936641. The reversal of 59936640 is 4663995.

It is a junction number, because it is equal to n+sod(n) for n = 59936592 and 59936601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59936641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130854 + ... + 1130906.

It is an arithmetic number, because the mean of its divisors is an integer number (826200).

Almost surely, 2^59936640 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 59936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105753600).

59936640 is an abundant number, since it is smaller than the sum of its proper divisors (151570560).

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

59936640 is a wasteful number, since it uses less digits than its factorization.

59936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 59936640 is about 7741.8757417050. The cubic root of 59936640 is about 391.3489122407.

The spelling of 59936640 in words is "fifty-nine million, nine hundred thirty-six thousand, six hundred forty".