55624464 has 120 divisors (see below), whose sum is σ = 179641280. Its totient is φ = 15738624.

The previous prime is 55624463. The next prime is 55624469. The reversal of 55624464 is 46442655.

55624464 is a `hidden beast` number, since 556 + 2 + 44 + 64 = 666.

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 (55624463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139914 + ... + 140310.

Almost surely, 2^55624464 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 55624464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89820640).

55624464 is an abundant number, since it is smaller than the sum of its proper divisors (124016816).

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

55624464 is a wasteful number, since it uses less digits than its factorization.

55624464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 548 counting only the distinct ones).

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

The square root of 55624464 is about 7458.1810114799. The cubic root of 55624464 is about 381.7291099586.

The spelling of 55624464 in words is "fifty-five million, six hundred twenty-four thousand, four hundred sixty-four".