57338820 has 288 divisors, whose sum is σ = 227525760. Its totient is φ = 11854080.

The previous prime is 57338803. The next prime is 57338833. The reversal of 57338820 is 2883375.

57338820 is a `hidden beast` number, since 573 + 3 + 8 + 82 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290962 + ... + 291158.

It is an arithmetic number, because the mean of its divisors is an integer number (790020).

Almost surely, 2^57338820 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 57338820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113762880).

57338820 is an abundant number, since it is smaller than the sum of its proper divisors (170186940).

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

57338820 is a wasteful number, since it uses less digits than its factorization.

57338820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 57338820 is about 7572.2400912808. The cubic root of 57338820 is about 385.6111505559.

Subtracting from 57338820 its reverse (2883375), we obtain a palindrome (54455445).

It can be divided in two parts, 573 and 38820, that added together give a palindrome (39393).

The spelling of 57338820 in words is "fifty-seven million, three hundred thirty-eight thousand, eight hundred twenty".