54165264 has 80 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 16568320.

The previous prime is 54165263. The next prime is 54165271. The reversal of 54165264 is 46256145.

It is not an unprimeable number, because it can be changed into a prime (54165263) 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, 32647 + ... + 34265.

It is an arithmetic number, because the mean of its divisors is an integer number (1898316).

Almost surely, 2^54165264 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 54165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

54165264 is an abundant number, since it is smaller than the sum of its proper divisors (97700016).

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

54165264 is a wasteful number, since it uses less digits than its factorization.

54165264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1682 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 54165264 is about 7359.7054288878. The cubic root of 54165264 is about 378.3615141129.

The spelling of 54165264 in words is "fifty-four million, one hundred sixty-five thousand, two hundred sixty-four".