54993120 has 192 divisors, whose sum is σ = 213373440. Its totient is φ = 11593728.

The previous prime is 54993119. The next prime is 54993139. The reversal of 54993120 is 2139945.

It is a congruent number.

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, 43051 + ... + 44309.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^54993120 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 54993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106686720).

54993120 is an abundant number, since it is smaller than the sum of its proper divisors (158380320).

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

54993120 is a wasteful number, since it uses less digits than its factorization.

54993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 54993120 is about 7415.7346230835. The cubic root of 54993120 is about 380.2793882555.

The spelling of 54993120 in words is "fifty-four million, nine hundred ninety-three thousand, one hundred twenty".