57535380 has 192 divisors, whose sum is σ = 211599360. Its totient is φ = 12700800.

The previous prime is 57535367. The next prime is 57535381. The reversal of 57535380 is 8353575.

57535380 is a `hidden beast` number, since 575 + 3 + 5 + 3 + 80 = 666.

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 (57535381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116935 + ... + 117425.

It is an arithmetic number, because the mean of its divisors is an integer number (1102080).

Almost surely, 2^57535380 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 57535380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105799680).

57535380 is an abundant number, since it is smaller than the sum of its proper divisors (154063980).

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

57535380 is a wasteful number, since it uses less digits than its factorization.

57535380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 57535380 is about 7585.2079734177. The cubic root of 57535380 is about 386.0512786806.

The spelling of 57535380 in words is "fifty-seven million, five hundred thirty-five thousand, three hundred eighty".