57038760 has 192 divisors, whose sum is σ = 202176000. Its totient is φ = 13893120.

The previous prime is 57038713. The next prime is 57038767. The reversal of 57038760 is 6783075.

57038760 is a `hidden beast` number, since 570 + 3 + 87 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57038767) 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, 211906 + ... + 212174.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 2^57038760 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 57038760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101088000).

57038760 is an abundant number, since it is smaller than the sum of its proper divisors (145137240).

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

57038760 is a wasteful number, since it uses less digits than its factorization.

57038760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 57038760 is about 7552.4009427466. The cubic root of 57038760 is about 384.9373260547.

The spelling of 57038760 in words is "fifty-seven million, thirty-eight thousand, seven hundred sixty".