54123564 has 48 divisors (see below), whose sum is σ = 138208896. Its totient is φ = 16348800.

The previous prime is 54123557. The next prime is 54123581. The reversal of 54123564 is 46532145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68379 + ... + 69165.

It is an arithmetic number, because the mean of its divisors is an integer number (2879352).

Almost surely, 2^54123564 is an apocalyptic number.

It is an amenable number.

54123564 is an abundant number, since it is smaller than the sum of its proper divisors (84085332).

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

54123564 is a wasteful number, since it uses less digits than its factorization.

54123564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1324 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 54123564 is about 7356.8718896009. The cubic root of 54123564 is about 378.2643932855.

The spelling of 54123564 in words is "fifty-four million, one hundred twenty-three thousand, five hundred sixty-four".