59868640 has 96 divisors (see below), whose sum is σ = 154314720. Its totient is φ = 21817344.

The previous prime is 59868637. The next prime is 59868661. The reversal of 59868640 is 4686895.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 222426 + ... + 222694.

It is an arithmetic number, because the mean of its divisors is an integer number (1607445).

Almost surely, 2^59868640 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 59868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77157360).

59868640 is an abundant number, since it is smaller than the sum of its proper divisors (94446080).

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

59868640 is a wasteful number, since it uses less digits than its factorization.

59868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 59868640 is about 7737.4827948112. The cubic root of 59868640 is about 391.2008570259.

The spelling of 59868640 in words is "fifty-nine million, eight hundred sixty-eight thousand, six hundred forty".