59506560 has 96 divisors (see below), whose sum is σ = 205503480. Its totient is φ = 15866880.

The previous prime is 59506549. The next prime is 59506561. The reversal of 59506560 is 6560595.

59506560 is a `hidden beast` number, since 5 + 95 + 0 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59506561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 595 + ... + 10925.

Almost surely, 2^59506560 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 59506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102751740).

59506560 is an abundant number, since it is smaller than the sum of its proper divisors (145996920).

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

59506560 is a wasteful number, since it uses less digits than its factorization.

59506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10356 (or 10341 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 59506560 is about 7714.0495201937. The cubic root of 59506560 is about 390.4106128979.

The spelling of 59506560 in words is "fifty-nine million, five hundred six thousand, five hundred sixty".