55980864 has 84 divisors (see below), whose sum is σ = 169927524. Its totient is φ = 17559552.

The previous prime is 55980863. The next prime is 55980913. The reversal of 55980864 is 46808955.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 17640000 = 6192^2 + 4200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55980863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6934 + ... + 12650.

Almost surely, 2^55980864 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 55980864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84963762).

55980864 is an abundant number, since it is smaller than the sum of its proper divisors (113946660).

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

55980864 is a wasteful number, since it uses less digits than its factorization.

55980864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55980864 is about 7482.0360865208. The cubic root of 55980864 is about 382.5426531956.

The spelling of 55980864 in words is "fifty-five million, nine hundred eighty thousand, eight hundred sixty-four".