57279960 has 192 divisors, whose sum is σ = 198132480. Its totient is φ = 14878080.

The previous prime is 57279949. The next prime is 57279967. The reversal of 57279960 is 6997275.

57279960 is a `hidden beast` number, since 572 + 79 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57279967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690079 + ... + 690161.

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

Almost surely, 2^57279960 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 57279960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

57279960 is an abundant number, since it is smaller than the sum of its proper divisors (140852520).

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

57279960 is a wasteful number, since it uses less digits than its factorization.

57279960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57279960 is about 7568.3525287872. The cubic root of 57279960 is about 385.4791582852.

The spelling of 57279960 in words is "fifty-seven million, two hundred seventy-nine thousand, nine hundred sixty".