57264111 has 16 divisors (see below), whose sum is σ = 85081600. Its totient is φ = 38065464.

The previous prime is 57264091. The next prime is 57264149. The reversal of 57264111 is 11146275.

It is a happy number.

57264111 is a `hidden beast` number, since 5 + 7 + 2 + 641 + 11 = 666.

It is not a de Polignac number, because 57264111 - 2²¹ = 55166959 is a prime.

It is a super-3 number, since 3×57264111³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57264191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7020 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (5317600).

Almost surely, 2^57264111 is an apocalyptic number.

57264111 is a deficient number, since it is larger than the sum of its proper divisors (27817489).

57264111 is a wasteful number, since it uses less digits than its factorization.

57264111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6155 (or 6149 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 57264111 is about 7567.3053988854. The cubic root of 57264111 is about 385.4436017965.

It can be divided in two parts, 57264 and 111, that added together give a palindrome (57375).

The spelling of 57264111 in words is "fifty-seven million, two hundred sixty-four thousand, one hundred eleven".