54003264 has 112 divisors (see below), whose sum is σ = 170492928. Its totient is φ = 14750208.

The previous prime is 54003253. The next prime is 54003269. The reversal of 54003264 is 46230045.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (54003269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30039 + ... + 31785.

Almost surely, 2^54003264 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 54003264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85246464).

54003264 is an abundant number, since it is smaller than the sum of its proper divisors (116489664).

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

54003264 is a wasteful number, since it uses less digits than its factorization.

54003264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 54003264 is about 7348.6913120637. The cubic root of 54003264 is about 377.9839303378.

The spelling of 54003264 in words is "fifty-four million, three thousand, two hundred sixty-four".