59640840 has 320 divisors, whose sum is σ = 242006400. Its totient is φ = 13039488.

The previous prime is 59640839. The next prime is 59640853. The reversal of 59640840 is 4804695.

59640840 is a `hidden beast` number, since 5 + 9 + 640 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59640795 and 59640804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2593069 + ... + 2593091.

It is an arithmetic number, because the mean of its divisors is an integer number (756270).

Almost surely, 2^59640840 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 59640840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121003200).

59640840 is an abundant number, since it is smaller than the sum of its proper divisors (182365560).

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

59640840 is a wasteful number, since it uses less digits than its factorization.

59640840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 59640840 is about 7722.7482154995. The cubic root of 59640840 is about 390.7040536749.

The spelling of 59640840 in words is "fifty-nine million, six hundred forty thousand, eight hundred forty".