57436920 has 96 divisors (see below), whose sum is σ = 188604000. Its totient is φ = 15158016.

The previous prime is 57436919. The next prime is 57436921. The reversal of 57436920 is 2963475.

57436920 is a `hidden beast` number, since 574 + 3 + 69 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (57436919) and next prime (57436921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57436921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36306 + ... + 37854.

It is an arithmetic number, because the mean of its divisors is an integer number (1964625).

Almost surely, 2^57436920 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 57436920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94302000).

57436920 is an abundant number, since it is smaller than the sum of its proper divisors (131167080).

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

57436920 is a wasteful number, since it uses less digits than its factorization.

57436920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57436920 is about 7578.7149306462. The cubic root of 57436920 is about 385.8309370868.

The spelling of 57436920 in words is "fifty-seven million, four hundred thirty-six thousand, nine hundred twenty".