55676880 has 120 divisors (see below), whose sum is σ = 213712512. Its totient is φ = 12724992.

The previous prime is 55676869. The next prime is 55676891. The reversal of 55676880 is 8867655.

55676880 is a `hidden beast` number, since 5 + 567 + 6 + 8 + 80 = 666.

55676880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55676869) and next prime (55676891).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 10563.

Almost surely, 2^55676880 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 55676880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106856256).

55676880 is an abundant number, since it is smaller than the sum of its proper divisors (158035632).

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

55676880 is a wasteful number, since it uses less digits than its factorization.

55676880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11073 (or 11064 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 55676880 is about 7461.6941775980. The cubic root of 55676880 is about 381.8489758713.

The spelling of 55676880 in words is "fifty-five million, six hundred seventy-six thousand, eight hundred eighty".