55106880 has 112 divisors (see below), whose sum is σ = 176662080. Its totient is φ = 14553088.

The previous prime is 55106879. The next prime is 55106893. The reversal of 55106880 is 8860155.

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, 131311 + ... + 131729.

It is an arithmetic number, because the mean of its divisors is an integer number (1577340).

Almost surely, 2^55106880 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 55106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331040).

55106880 is an abundant number, since it is smaller than the sum of its proper divisors (121555200).

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

55106880 is a wasteful number, since it uses less digits than its factorization.

55106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 55106880 is about 7423.4008378909. The cubic root of 55106880 is about 380.5414258068.

The spelling of 55106880 in words is "fifty-five million, one hundred six thousand, eight hundred eighty".