57083080 has 64 divisors (see below), whose sum is σ = 132107760. Its totient is φ = 22192128.

The previous prime is 57083069. The next prime is 57083083. The reversal of 57083080 is 8038075.

It can be written as a sum of positive squares in 8 ways, for example, as 21585316 + 35497764 = 4646^2 + 5958^2 .

It is not an unprimeable number, because it can be changed into a prime (57083083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329874 + ... + 330046.

Almost surely, 2^57083080 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 57083080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66053880).

57083080 is an abundant number, since it is smaller than the sum of its proper divisors (75024680).

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

57083080 is a wasteful number, since it uses less digits than its factorization.

57083080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 57083080 is about 7555.3345392511. The cubic root of 57083080 is about 385.0370009977.

The spelling of 57083080 in words is "fifty-seven million, eighty-three thousand, eighty".