57505680 has 160 divisors (see below), whose sum is σ = 201177600. Its totient is φ = 15095808.

The previous prime is 57505667. The next prime is 57505687. The reversal of 57505680 is 8650575.

57505680 is a `hidden beast` number, since 575 + 0 + 5 + 6 + 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 (57505687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170472 + ... + 170808.

It is an arithmetic number, because the mean of its divisors is an integer number (1257360).

Almost surely, 2^57505680 is an apocalyptic number.

57505680 is the 3792-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57505680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100588800).

57505680 is an abundant number, since it is smaller than the sum of its proper divisors (143671920).

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

57505680 is a wasteful number, since it uses less digits than its factorization.

57505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 57505680 is about 7583.2499629117. The cubic root of 57505680 is about 385.9848401610.

It can be divided in two parts, 57505 and 680, that added together give a palindrome (58185).

The spelling of 57505680 in words is "fifty-seven million, five hundred five thousand, six hundred eighty".