59792640 has 144 divisors (see below), whose sum is σ = 199559808. Its totient is φ = 15228928.

The previous prime is 59792599. The next prime is 59792641. The reversal of 59792640 is 4629795.

It is a junction number, because it is equal to n+sod(n) for n = 59792592 and 59792601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59792641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87982 + ... + 88658.

It is an arithmetic number, because the mean of its divisors is an integer number (1385832).

Almost surely, 2^59792640 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 59792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779904).

59792640 is an abundant number, since it is smaller than the sum of its proper divisors (139767168).

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

59792640 is a wasteful number, since it uses less digits than its factorization.

59792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 59792640 is about 7732.5700772770. The cubic root of 59792640 is about 391.0352508211.

The spelling of 59792640 in words is "fifty-nine million, seven hundred ninety-two thousand, six hundred forty".