57107268 has 60 divisors (see below), whose sum is σ = 152798800. Its totient is φ = 18588528.

The previous prime is 57107263. The next prime is 57107273. The reversal of 57107268 is 86270175.

57107268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57107263) and next prime (57107273).

It is a super-2 number, since 2×57107268² = 6522480116847648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57107261) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11883 + ... + 15981.

Almost surely, 2^57107268 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 57107268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76399400).

57107268 is an abundant number, since it is smaller than the sum of its proper divisors (95691532).

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

57107268 is a wasteful number, since it uses less digits than its factorization.

57107268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 57107268 is about 7556.9350930122. The cubic root of 57107268 is about 385.0913776469.

It can be divided in two parts, 57107 and 268, that added together give a palindrome (57375).

The spelling of 57107268 in words is "fifty-seven million, one hundred seven thousand, two hundred sixty-eight".