54663264 has 72 divisors (see below), whose sum is σ = 158132520. Its totient is φ = 17906688.

The previous prime is 54663263. The next prime is 54663269. The reversal of 54663264 is 46236645.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×54663264² = 5976144862267392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54663263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15384 + ... + 18600.

It is an arithmetic number, because the mean of its divisors is an integer number (2196285).

Almost surely, 2^54663264 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 54663264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79066260).

54663264 is an abundant number, since it is smaller than the sum of its proper divisors (103469256).

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

54663264 is a wasteful number, since it uses less digits than its factorization.

54663264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3281 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 54663264 is about 7393.4608946014. The cubic root of 54663264 is about 379.5175409932.

The spelling of 54663264 in words is "fifty-four million, six hundred sixty-three thousand, two hundred sixty-four".