54664560 has 120 divisors (see below), whose sum is σ = 191621664. Its totient is φ = 13939200.

The previous prime is 54664559. The next prime is 54664579. The reversal of 54664560 is 6546645.

It is a happy number.

54664560 is a `hidden beast` number, since 5 + 4 + 6 + 645 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14910 + ... + 18210.

Almost surely, 2^54664560 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 54664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95810832).

54664560 is an abundant number, since it is smaller than the sum of its proper divisors (136957104).

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

54664560 is a wasteful number, since it uses less digits than its factorization.

54664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 54664560 is about 7393.5485390981. The cubic root of 54664560 is about 379.5205402704.

The spelling of 54664560 in words is "fifty-four million, six hundred sixty-four thousand, five hundred sixty".