59688480 has 48 divisors (see below), whose sum is σ = 188020224. Its totient is φ = 15916800.

The previous prime is 59688457. The next prime is 59688487. The reversal of 59688480 is 8488695.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (59688487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61696 + ... + 62655.

It is an arithmetic number, because the mean of its divisors is an integer number (3917088).

Almost surely, 2^59688480 is an apocalyptic number.

It is an amenable number.

59688480 is an abundant number, since it is smaller than the sum of its proper divisors (128331744).

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

59688480 is a wasteful number, since it uses less digits than its factorization.

59688480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124369 (or 124361 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 59688480 is about 7725.8319940315. The cubic root of 59688480 is about 390.8080550458.

The spelling of 59688480 in words is "fifty-nine million, six hundred eighty-eight thousand, four hundred eighty".