59000640 has 112 divisors (see below), whose sum is σ = 192024000. Its totient is φ = 15339520.

The previous prime is 59000639. The next prime is 59000663. The reversal of 59000640 is 4600095.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 59000640.

It is a congruent number.

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, 38611 + ... + 40109.

It is an arithmetic number, because the mean of its divisors is an integer number (1714500).

Almost surely, 2^59000640 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 59000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012000).

59000640 is an abundant number, since it is smaller than the sum of its proper divisors (133023360).

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

59000640 is a wasteful number, since it uses less digits than its factorization.

59000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 59000640 is about 7681.1874082071. The cubic root of 59000640 is about 389.3010492194.

The spelling of 59000640 in words is "fifty-nine million, six hundred forty", and thus it is an aban number.