54924960 has 192 divisors, whose sum is σ = 188116992. Its totient is φ = 13418496.

The previous prime is 54924959. The next prime is 54924971. The reversal of 54924960 is 6942945.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432417 + ... + 432543.

It is an arithmetic number, because the mean of its divisors is an integer number (979776).

Almost surely, 2^54924960 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 54924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94058496).

54924960 is an abundant number, since it is smaller than the sum of its proper divisors (133192032).

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

54924960 is a wasteful number, since it uses less digits than its factorization.

54924960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 54924960 is about 7411.1375645038. The cubic root of 54924960 is about 380.1222136910.

The spelling of 54924960 in words is "fifty-four million, nine hundred twenty-four thousand, nine hundred sixty".