55606176 has 72 divisors (see below), whose sum is σ = 164009664. Its totient is φ = 18532800.

The previous prime is 55606163. The next prime is 55606193. The reversal of 55606176 is 67160655.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 55606176.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4201 + ... + 11351.

It is an arithmetic number, because the mean of its divisors is an integer number (2277912).

Almost surely, 2^55606176 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 55606176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82004832).

55606176 is an abundant number, since it is smaller than the sum of its proper divisors (108403488).

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

55606176 is an equidigital number, since it uses as much as digits as its factorization.

55606176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7176 (or 7156 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55606176 is about 7456.9548744779. The cubic root of 55606176 is about 381.6872708907.

The spelling of 55606176 in words is "fifty-five million, six hundred six thousand, one hundred seventy-six".