54759264 has 96 divisors (see below), whose sum is σ = 167731200. Its totient is φ = 15636096.

The previous prime is 54759259. The next prime is 54759307. The reversal of 54759264 is 46295745.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 32097 + ... + 33759.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^54759264 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 54759264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83865600).

54759264 is an abundant number, since it is smaller than the sum of its proper divisors (112971936).

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

54759264 is a wasteful number, since it uses less digits than its factorization.

54759264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697 (or 1675 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 54759264 is about 7399.9502701032. The cubic root of 54759264 is about 379.7395814990.

The spelling of 54759264 in words is "fifty-four million, seven hundred fifty-nine thousand, two hundred sixty-four".