55338624 has 144 divisors (see below), whose sum is σ = 175476210. Its totient is φ = 16727040.

The previous prime is 55338611. The next prime is 55338629. The reversal of 55338624 is 42683355.

It is a happy number.

55338624 is a `hidden beast` number, since 553 + 3 + 86 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43560000 + 11778624 = 6600^2 + 3432^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (55338629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139194 + ... + 139590.

Almost surely, 2^55338624 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 55338624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87738105).

55338624 is an abundant number, since it is smaller than the sum of its proper divisors (120137586).

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

55338624 is a wasteful number, since it uses less digits than its factorization.

55338624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 413 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55338624 is about 7438.9934803036. The cubic root of 55338624 is about 381.0741170624.

The spelling of 55338624 in words is "fifty-five million, three hundred thirty-eight thousand, six hundred twenty-four".