54608256 has 160 divisors (see below), whose sum is σ = 170319600. Its totient is φ = 17335296.

The previous prime is 54608251. The next prime is 54608287. The reversal of 54608256 is 65280645.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54608256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54608251) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 238350 + ... + 238578.

Almost surely, 2^54608256 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 54608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85159800).

54608256 is an abundant number, since it is smaller than the sum of its proper divisors (115711344).

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

54608256 is a wasteful number, since it uses less digits than its factorization.

54608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54608256 is about 7389.7399142324. The cubic root of 54608256 is about 379.3901946061.

The spelling of 54608256 in words is "fifty-four million, six hundred eight thousand, two hundred fifty-six".