55358640 has 100 divisors (see below), whose sum is σ = 192291264. Its totient is φ = 14760576.

The previous prime is 55358627. The next prime is 55358687. The reversal of 55358640 is 4685355.

55358640 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 55358595 and 55358604.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2209 + ... + 10751.

Almost surely, 2^55358640 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 55358640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96145632).

55358640 is an abundant number, since it is smaller than the sum of its proper divisors (136932624).

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

55358640 is a wasteful number, since it uses less digits than its factorization.

55358640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 55358640 is about 7440.3387019678. The cubic root of 55358640 is about 381.1200564054.

The spelling of 55358640 in words is "fifty-five million, three hundred fifty-eight thousand, six hundred forty".