57640100 has 72 divisors (see below), whose sum is σ = 145199040. Its totient is φ = 19451520.

The previous prime is 57640061. The next prime is 57640111. The reversal of 57640100 is 104675.

57640100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×57640100² = 6644762256020000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46286 + ... + 47514.

Almost surely, 2^57640100 is an apocalyptic number.

57640100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72599520).

57640100 is an abundant number, since it is smaller than the sum of its proper divisors (87558940).

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

57640100 is a wasteful number, since it uses less digits than its factorization.

57640100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 57640100 is about 7592.1077442302. The cubic root of 57640100 is about 386.2853537111.

Adding to 57640100 its reverse (104675), we get a palindrome (57744775).

The spelling of 57640100 in words is "fifty-seven million, six hundred forty thousand, one hundred".