55682160 has 80 divisors (see below), whose sum is σ = 181714560. Its totient is φ = 14065920.

The previous prime is 55682153. The next prime is 55682177. The reversal of 55682160 is 6128655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 10665.

It is an arithmetic number, because the mean of its divisors is an integer number (2271432).

Almost surely, 2^55682160 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 55682160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90857280).

55682160 is an abundant number, since it is smaller than the sum of its proper divisors (126032400).

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

55682160 is a wasteful number, since it uses less digits than its factorization.

55682160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12240 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 55682160 is about 7462.0479762596. The cubic root of 55682160 is about 381.8610461051.

The spelling of 55682160 in words is "fifty-five million, six hundred eighty-two thousand, one hundred sixty".