55677960 has 96 divisors (see below), whose sum is σ = 194889240. Its totient is φ = 13704192.

The previous prime is 55677949. The next prime is 55677997. The reversal of 55677960 is 6977655.

It is a happy number.

55677960 is a `hidden beast` number, since 556 + 7 + 7 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50722884 + 4955076 = 7122^2 + 2226^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1269 + ... + 10628.

Almost surely, 2^55677960 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 55677960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97444620).

55677960 is an abundant number, since it is smaller than the sum of its proper divisors (139211280).

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

55677960 is a wasteful number, since it uses less digits than its factorization.

55677960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927 (or 11920 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 55677960 is about 7461.7665468708. The cubic root of 55677960 is about 381.8514448449.

The spelling of 55677960 in words is "fifty-five million, six hundred seventy-seven thousand, nine hundred sixty".