54633664 has 56 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 25632000.

The previous prime is 54633661. The next prime is 54633701. The reversal of 54633664 is 46633645.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54633661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217539 + ... + 217789.

It is an arithmetic number, because the mean of its divisors is an integer number (2057400).

Almost surely, 2^54633664 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 54633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

54633664 is an abundant number, since it is smaller than the sum of its proper divisors (60580736).

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

54633664 is a wasteful number, since it uses less digits than its factorization.

54633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its digits is 155520, while the sum is 37.

The square root of 54633664 is about 7391.4588546511. The cubic root of 54633664 is about 379.4490260731.

The spelling of 54633664 in words is "fifty-four million, six hundred thirty-three thousand, six hundred sixty-four".