54555264 has 192 divisors, whose sum is σ = 171849600. Its totient is φ = 16558080.

The previous prime is 54555247. The next prime is 54555269. The reversal of 54555264 is 46255545.

54555264 is a `hidden beast` number, since 5 + 45 + 552 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (54555269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768349 + ... + 768419.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 2^54555264 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 54555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85924800).

54555264 is an abundant number, since it is smaller than the sum of its proper divisors (117294336).

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

54555264 is a wasteful number, since it uses less digits than its factorization.

54555264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 128 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 54555264 is about 7386.1535321167. The cubic root of 54555264 is about 379.2674344634.

The spelling of 54555264 in words is "fifty-four million, five hundred fifty-five thousand, two hundred sixty-four".