57754620 has 240 divisors, whose sum is σ = 226372608. Its totient is φ = 11975040.

The previous prime is 57754597. The next prime is 57754621. The reversal of 57754620 is 2645775.

It is a super-3 number, since 3×57754620³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (57754621) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124509 + ... + 124971.

Almost surely, 2^57754620 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 57754620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113186304).

57754620 is an abundant number, since it is smaller than the sum of its proper divisors (168617988).

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

57754620 is a wasteful number, since it uses less digits than its factorization.

57754620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 57754620 is about 7599.6460443892. The cubic root of 57754620 is about 386.5410098363.

The spelling of 57754620 in words is "fifty-seven million, seven hundred fifty-four thousand, six hundred twenty".