55476144 has 80 divisors (see below), whose sum is σ = 160153440. Its totient is φ = 18385920.

The previous prime is 55476137. The next prime is 55476167. The reversal of 55476144 is 44167455.

55476144 is a `hidden beast` number, since 554 + 7 + 61 + 44 = 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 = 55476099 and 55476108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121164 + ... + 121620.

It is an arithmetic number, because the mean of its divisors is an integer number (2001918).

Almost surely, 2^55476144 is an apocalyptic number.

55476144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55476144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80076720).

55476144 is an abundant number, since it is smaller than the sum of its proper divisors (104677296).

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

55476144 is a wasteful number, since it uses less digits than its factorization.

55476144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 743 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 55476144 is about 7448.2309308990. The cubic root of 55476144 is about 381.3895204128.

The spelling of 55476144 in words is "fifty-five million, four hundred seventy-six thousand, one hundred forty-four".