59788960 has 192 divisors, whose sum is σ = 184633344. Its totient is φ = 17740800.

The previous prime is 59788943. The next prime is 59788961. The reversal of 59788960 is 6988795.

It is a junction number, because it is equal to n+sod(n) for n = 59788898 and 59788907.

It is not an unprimeable number, because it can be changed into a prime (59788961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283255 + ... + 283465.

It is an arithmetic number, because the mean of its divisors is an integer number (961632).

Almost surely, 2^59788960 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 59788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92316672).

59788960 is an abundant number, since it is smaller than the sum of its proper divisors (124844384).

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

59788960 is a wasteful number, since it uses less digits than its factorization.

59788960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The square root of 59788960 is about 7732.3321190958. The cubic root of 59788960 is about 391.0272284333.

The spelling of 59788960 in words is "fifty-nine million, seven hundred eighty-eight thousand, nine hundred sixty".