57948960 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 14192640.

The previous prime is 57948959. The next prime is 57948967. The reversal of 57948960 is 6984975.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57948967) 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, 320070 + ... + 320250.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^57948960 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 57948960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

57948960 is an abundant number, since it is smaller than the sum of its proper divisors (140183520).

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

57948960 is a wasteful number, since it uses less digits than its factorization.

57948960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 57948960 is about 7612.4214281659. The cubic root of 57948960 is about 386.9740850250.

The spelling of 57948960 in words is "fifty-seven million, nine hundred forty-eight thousand, nine hundred sixty".