59075640 has 144 divisors (see below), whose sum is σ = 208114920. Its totient is φ = 14526720.

The previous prime is 59075603. The next prime is 59075657. The reversal of 59075640 is 4657095.

59075640 is a `hidden beast` number, since 5 + 9 + 0 + 7 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 59075595 and 59075604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60355 + ... + 61325.

Almost surely, 2^59075640 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 59075640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104057460).

59075640 is an abundant number, since it is smaller than the sum of its proper divisors (149039280).

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

59075640 is a wasteful number, since it uses less digits than its factorization.

59075640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 59075640 is about 7686.0679153908. The cubic root of 59075640 is about 389.4659356551.

The spelling of 59075640 in words is "fifty-nine million, seventy-five thousand, six hundred forty".