59520768 has 72 divisors (see below), whose sum is σ = 166790400. Its totient is φ = 18791424.

The previous prime is 59520763. The next prime is 59520781. The reversal of 59520768 is 86702595.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59520761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12553 + ... + 16631.

Almost surely, 2^59520768 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 59520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83395200).

59520768 is an abundant number, since it is smaller than the sum of its proper divisors (107269632).

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

59520768 is a wasteful number, since it uses less digits than its factorization.

59520768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 59520768 is about 7714.9703823152. The cubic root of 59520768 is about 390.4416823720.

The spelling of 59520768 in words is "fifty-nine million, five hundred twenty thousand, seven hundred sixty-eight".