55854080 has 44 divisors (see below), whose sum is σ = 133996620. Its totient is φ = 22339584.

The previous prime is 55854049. The next prime is 55854121. The reversal of 55854080 is 8045855.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16516096 + 39337984 = 4064^2 + 6272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55854080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335 + ... + 10574.

Almost surely, 2^55854080 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 55854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66998310).

55854080 is an abundant number, since it is smaller than the sum of its proper divisors (78142540).

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

55854080 is a wasteful number, since it uses less digits than its factorization.

55854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10934 (or 10916 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 35.

The square root of 55854080 is about 7473.5587239280. The cubic root of 55854080 is about 382.2536440326.

The spelling of 55854080 in words is "fifty-five million, eight hundred fifty-four thousand, eighty".