55306080 has 144 divisors (see below), whose sum is σ = 190663200. Its totient is φ = 14598144.

The previous prime is 55306079. The next prime is 55306091. The reversal of 55306080 is 8060355.

55306080 is a `hidden beast` number, since 5 + 53 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277821 + ... + 278019.

It is an arithmetic number, because the mean of its divisors is an integer number (1324050).

Almost surely, 2^55306080 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 55306080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95331600).

55306080 is an abundant number, since it is smaller than the sum of its proper divisors (135357120).

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

55306080 is a wasteful number, since it uses less digits than its factorization.

55306080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 55306080 is about 7436.8057659186. The cubic root of 55306080 is about 380.9994006645. Note that the first 3 decimals are identical.

The spelling of 55306080 in words is "fifty-five million, three hundred six thousand, eighty".