59678640 has 160 divisors (see below), whose sum is σ = 234984960. Its totient is φ = 13637376.

The previous prime is 59678623. The next prime is 59678681. The reversal of 59678640 is 4687695.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13147 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^59678640 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 59678640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117492480).

59678640 is an abundant number, since it is smaller than the sum of its proper divisors (175306320).

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

59678640 is a wasteful number, since it uses less digits than its factorization.

59678640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 59678640 is about 7725.1951431663. The cubic root of 59678640 is about 390.7865781902.

The spelling of 59678640 in words is "fifty-nine million, six hundred seventy-eight thousand, six hundred forty".