59375680 has 112 divisors (see below), whose sum is σ = 174101760. Its totient is φ = 18782208.

The previous prime is 59375677. The next prime is 59375707. The reversal of 59375680 is 8657395.

It is a tau number, because it is divible by the number of its divisors (112).

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, 28101 + ... + 30139.

It is an arithmetic number, because the mean of its divisors is an integer number (1554480).

Almost surely, 2^59375680 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 59375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87050880).

59375680 is an abundant number, since it is smaller than the sum of its proper divisors (114726080).

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

59375680 is a wasteful number, since it uses less digits than its factorization.

59375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 59375680 is about 7705.5616278114. The cubic root of 59375680 is about 390.1241769818.

The spelling of 59375680 in words is "fifty-nine million, three hundred seventy-five thousand, six hundred eighty".