59466960 has 480 divisors, whose sum is σ = 259983360. Its totient is φ = 12317184.

The previous prime is 59466929. The next prime is 59466961. The reversal of 59466960 is 6966495.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59466961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2585509 + ... + 2585531.

It is an arithmetic number, because the mean of its divisors is an integer number (541632).

Almost surely, 2^59466960 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 59466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129991680).

59466960 is an abundant number, since it is smaller than the sum of its proper divisors (200516400).

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

59466960 is a wasteful number, since it uses less digits than its factorization.

59466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 59466960 is about 7711.4823477721. The cubic root of 59466960 is about 390.3239911260.

The spelling of 59466960 in words is "fifty-nine million, four hundred sixty-six thousand, nine hundred sixty".