54598656 has 88 divisors (see below), whose sum is σ = 166380160. Its totient is φ = 15593472.

The previous prime is 54598603. The next prime is 54598669. The reversal of 54598656 is 65689545.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 20235 + ... + 22773.

Almost surely, 2^54598656 is an apocalyptic number.

54598656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54598656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83190080).

54598656 is an abundant number, since it is smaller than the sum of its proper divisors (111781504).

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

54598656 is a wasteful number, since it uses less digits than its factorization.

54598656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2551 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 48.

The square root of 54598656 is about 7389.0903364352. The cubic root of 54598656 is about 379.3679613421.

The spelling of 54598656 in words is "fifty-four million, five hundred ninety-eight thousand, six hundred fifty-six".