54845856 has 192 divisors, whose sum is σ = 182044800. Its totient is φ = 15925248.

The previous prime is 54845827. The next prime is 54845887. The reversal of 54845856 is 65854845.

54845856 is a `hidden beast` number, since 548 + 4 + 58 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213280 + ... + 213536.

It is an arithmetic number, because the mean of its divisors is an integer number (948150).

Almost surely, 2^54845856 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 54845856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

54845856 is an abundant number, since it is smaller than the sum of its proper divisors (127198944).

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

54845856 is a wasteful number, since it uses less digits than its factorization.

54845856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 54845856 is about 7405.7988090415. The cubic root of 54845856 is about 379.9396395355.

The spelling of 54845856 in words is "fifty-four million, eight hundred forty-five thousand, eight hundred fifty-six".