59697040 has 80 divisors (see below), whose sum is σ = 152084016. Its totient is φ = 21657600.

The previous prime is 59697007. The next prime is 59697059. The reversal of 59697040 is 4079695.

It can be written as a sum of positive squares in 8 ways, for example, as 14107536 + 45589504 = 3756^2 + 6752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 59696984 and 59697002.

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, 62970 + ... + 63910.

Almost surely, 2^59697040 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 59697040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76042008).

59697040 is an abundant number, since it is smaller than the sum of its proper divisors (92386976).

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

59697040 is a wasteful number, since it uses less digits than its factorization.

59697040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 59697040 is about 7726.3859598133. The cubic root of 59697040 is about 390.8267362444.

The spelling of 59697040 in words is "fifty-nine million, six hundred ninety-seven thousand, forty".