55961680 has 20 divisors (see below), whose sum is σ = 130111092. Its totient is φ = 22384640.

The previous prime is 55961641. The next prime is 55961699. The reversal of 55961680 is 8616955.

It can be written as a sum of positive squares in 2 ways, for example, as 43401744 + 12559936 = 6588^2 + 3544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 349681 + ... + 349840.

Almost surely, 2^55961680 is an apocalyptic number.

It is an amenable number.

55961680 is an abundant number, since it is smaller than the sum of its proper divisors (74149412).

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

55961680 is a wasteful number, since it uses less digits than its factorization.

55961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699534 (or 699528 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The square root of 55961680 is about 7480.7539726955. The cubic root of 55961680 is about 382.4989505432.

The spelling of 55961680 in words is "fifty-five million, nine hundred sixty-one thousand, six hundred eighty".