54651264 has 64 divisors (see below), whose sum is σ = 149882880. Its totient is φ = 17625600.

The previous prime is 54651253. The next prime is 54651281. The reversal of 54651264 is 46215645.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9609 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (2341920).

Almost surely, 2^54651264 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 54651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74941440).

54651264 is an abundant number, since it is smaller than the sum of its proper divisors (95231616).

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

54651264 is a wasteful number, since it uses less digits than its factorization.

54651264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4639 (or 4627 counting only the distinct ones).

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

The square root of 54651264 is about 7392.6493221307. The cubic root of 54651264 is about 379.4897676561.

The spelling of 54651264 in words is "fifty-four million, six hundred fifty-one thousand, two hundred sixty-four".