54522624 has 144 divisors (see below), whose sum is σ = 161165312. Its totient is φ = 16257024.

The previous prime is 54522623. The next prime is 54522631. The reversal of 54522624 is 42622545.

It is a happy number.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54522591 and 54522600.

It is not an unprimeable number, because it can be changed into a prime (54522623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429249 + ... + 429375.

Almost surely, 2^54522624 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 54522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80582656).

54522624 is an abundant number, since it is smaller than the sum of its proper divisors (106642688).

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

54522624 is a wasteful number, since it uses less digits than its factorization.

54522624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 188 counting only the distinct ones).

The product of its digits is 19200, while the sum is 30.

The square root of 54522624 is about 7383.9436617569. The cubic root of 54522624 is about 379.1917817657.

The spelling of 54522624 in words is "fifty-four million, five hundred twenty-two thousand, six hundred twenty-four".