55803264 has 96 divisors (see below), whose sum is σ = 163063320. Its totient is φ = 16896000.

The previous prime is 55803257. The next prime is 55803269. The reversal of 55803264 is 46230855.

55803264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×55803264² = 6228008546107392, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55803269) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 45864 + ... + 47064.

Almost surely, 2^55803264 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 55803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81531660).

55803264 is an abundant number, since it is smaller than the sum of its proper divisors (107260056).

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

55803264 is a wasteful number, since it uses less digits than its factorization.

55803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 55803264 is about 7470.1582312559. The cubic root of 55803264 is about 382.1376841661.

It can be divided in two parts, 558032 and 64, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 55803264 in words is "fifty-five million, eight hundred three thousand, two hundred sixty-four".