57067920 has 360 divisors, whose sum is σ = 240716736. Its totient is φ = 11860992.

The previous prime is 57067919. The next prime is 57067921. The reversal of 57067920 is 2976075.

57067920 is a `hidden beast` number, since 570 + 67 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (57067919) and next prime (57067921).

It is a tau number, because it is divible by the number of its divisors (360).

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 (57067921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 851727 + ... + 851793.

Almost surely, 2^57067920 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 57067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120358368).

57067920 is an abundant number, since it is smaller than the sum of its proper divisors (183648816).

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

57067920 is a wasteful number, since it uses less digits than its factorization.

57067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57067920 is about 7554.3312079892. The cubic root of 57067920 is about 385.0029122172.

The spelling of 57067920 in words is "fifty-seven million, sixty-seven thousand, nine hundred twenty".