54120264 has 64 divisors (see below), whose sum is σ = 152712000. Its totient is φ = 15832320.

The previous prime is 54120259. The next prime is 54120289. The reversal of 54120264 is 46202145.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4122 + ... + 11190.

It is an arithmetic number, because the mean of its divisors is an integer number (2386125).

Almost surely, 2^54120264 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 54120264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76356000).

54120264 is an abundant number, since it is smaller than the sum of its proper divisors (98591736).

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

54120264 is a wasteful number, since it uses less digits than its factorization.

54120264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7118 (or 7114 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 54120264 is about 7356.6476060771. The cubic root of 54120264 is about 378.2567053348.

The spelling of 54120264 in words is "fifty-four million, one hundred twenty thousand, two hundred sixty-four".