54930624 has 112 divisors (see below), whose sum is σ = 173419008. Its totient is φ = 15003648.

The previous prime is 54930619. The next prime is 54930637. The reversal of 54930624 is 42603945.

It is a tau number, because it is divible by the number of its divisors (112).

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, 30024 + ... + 31800.

It is an arithmetic number, because the mean of its divisors is an integer number (1548384).

Almost surely, 2^54930624 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 54930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86709504).

54930624 is an abundant number, since it is smaller than the sum of its proper divisors (118488384).

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

54930624 is a wasteful number, since it uses less digits than its factorization.

54930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 54930624 is about 7411.5196822244. The cubic root of 54930624 is about 380.1352796280.

The spelling of 54930624 in words is "fifty-four million, nine hundred thirty thousand, six hundred twenty-four".