59520 has 64 divisors (see below), whose sum is σ = 195840. Its totient is φ = 15360.

The previous prime is 59513. The next prime is 59539. The reversal of 59520 is 2595.

59520 = T₉ + T₁₀ + ... + T₇₀.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1905 + ... + 1935.

It is an arithmetic number, because the mean of its divisors is an integer number (3060).

2⁵⁹⁵²⁰ 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 59520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97920).

59520 is an abundant number, since it is smaller than the sum of its proper divisors (136320).

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

59520 is a wasteful number, since it uses less digits than its factorization.

59520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 59520 is about 243.9672109116. The cubic root of 59520 is about 39.0440003067.

The spelling of 59520 in words is "fifty-nine thousand, five hundred twenty".