54123264 has 162 divisors, whose sum is σ = 170193660. Its totient is φ = 16533504.

The previous prime is 54123247. The next prime is 54123281. The reversal of 54123264 is 46232145.

It is an interprime number because it is at equal distance from previous prime (54123247) and next prime (54123281).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389307 + ... + 389445.

Almost surely, 2^54123264 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 54123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85096830).

54123264 is an abundant number, since it is smaller than the sum of its proper divisors (116070396).

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

54123264 is a wasteful number, since it uses less digits than its factorization.

54123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 157 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 54123264 is about 7356.8515004722. The cubic root of 54123264 is about 378.2636943938.

The spelling of 54123264 in words is "fifty-four million, one hundred twenty-three thousand, two hundred sixty-four".