55705680 has 60 divisors (see below), whose sum is σ = 187080660. Its totient is φ = 14854656.

The previous prime is 55705633. The next prime is 55705681. The reversal of 55705680 is 8650755.

55705680 is a `hidden beast` number, since 5 + 570 + 5 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 48608784 = 2664^2 + 6972^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55705681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37965 + ... + 39404.

It is an arithmetic number, because the mean of its divisors is an integer number (3118011).

Almost surely, 2^55705680 is an apocalyptic number.

It is an amenable number.

55705680 is an abundant number, since it is smaller than the sum of its proper divisors (131374980).

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

55705680 is a wasteful number, since it uses less digits than its factorization.

55705680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77388 (or 77379 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 55705680 is about 7463.6237847308. The cubic root of 55705680 is about 381.9148042419.

The spelling of 55705680 in words is "fifty-five million, seven hundred five thousand, six hundred eighty".