54090960 has 160 divisors (see below), whose sum is σ = 209129472. Its totient is φ = 11235840.

The previous prime is 54090943. The next prime is 54090973. The reversal of 54090960 is 6909045.

It is a happy number.

54090960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17017 + ... + 19943.

Almost surely, 2^54090960 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 54090960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104564736).

54090960 is an abundant number, since it is smaller than the sum of its proper divisors (155038512).

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

54090960 is a wasteful number, since it uses less digits than its factorization.

54090960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2955 counting only the distinct ones).

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

The square root of 54090960 is about 7354.6556683505. The cubic root of 54090960 is about 378.1884226198.

The spelling of 54090960 in words is "fifty-four million, ninety thousand, nine hundred sixty".