55644264 has 144 divisors (see below), whose sum is σ = 173429100. Its totient is φ = 16054272.

The previous prime is 55644227. The next prime is 55644269. The reversal of 55644264 is 46244655.

55644264 is a `hidden beast` number, since 5 + 5 + 644 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4235364 + 51408900 = 2058^2 + 7170^2 .

It is a super-2 number, since 2×55644264² = 6192568232203392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (55644269) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 206722 + ... + 206990.

Almost surely, 2^55644264 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 55644264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86714550).

55644264 is an abundant number, since it is smaller than the sum of its proper divisors (117784836).

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

55644264 is a wasteful number, since it uses less digits than its factorization.

55644264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 304 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 55644264 is about 7459.5082947873. The cubic root of 55644264 is about 381.7743978242.

The spelling of 55644264 in words is "fifty-five million, six hundred forty-four thousand, two hundred sixty-four".