54645560 has 64 divisors (see below), whose sum is σ = 128286720. Its totient is φ = 20926080.

The previous prime is 54645551. The next prime is 54645571. The reversal of 54645560 is 6554645.

It is a super-2 number, since 2×54645560² = 5972274455427200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54645560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157307 + ... + 157653.

It is an arithmetic number, because the mean of its divisors is an integer number (2004480).

Almost surely, 2^54645560 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 54645560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64143360).

54645560 is an abundant number, since it is smaller than the sum of its proper divisors (73641160).

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

54645560 is a wasteful number, since it uses less digits than its factorization.

54645560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 54645560 is about 7392.2635234412. The cubic root of 54645560 is about 379.4765646376.

The spelling of 54645560 in words is "fifty-four million, six hundred forty-five thousand, five hundred sixty".