54924912 has 160 divisors (see below), whose sum is σ = 184988160. Its totient is φ = 15275520.

The previous prime is 54924899. The next prime is 54924913. The reversal of 54924912 is 21942945.

54924912 is a `hidden beast` number, since 549 + 24 + 91 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54924913) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 123763 + ... + 124205.

It is an arithmetic number, because the mean of its divisors is an integer number (1156176).

Almost surely, 2^54924912 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 54924912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92494080).

54924912 is an abundant number, since it is smaller than the sum of its proper divisors (130063248).

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

54924912 is a wasteful number, since it uses less digits than its factorization.

54924912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 54924912 is about 7411.1343261339. The cubic root of 54924912 is about 380.1221029588.

It can be divided in two parts, 5492 and 4912, that added together give a square (10404 = 102²).

The spelling of 54924912 in words is "fifty-four million, nine hundred twenty-four thousand, nine hundred twelve".