54566208 has 84 divisors (see below), whose sum is σ = 159070548. Its totient is φ = 17879040.

The previous prime is 54566191. The next prime is 54566219. The reversal of 54566208 is 80266545.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 51151104 = 1848^2 + 7152^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34360 + ... + 35912.

It is an arithmetic number, because the mean of its divisors is an integer number (1893697).

Almost surely, 2^54566208 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 54566208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79535274).

54566208 is an abundant number, since it is smaller than the sum of its proper divisors (104504340).

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

54566208 is a wasteful number, since it uses less digits than its factorization.

54566208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1619 counting only the distinct ones).

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

The square root of 54566208 is about 7386.8943406549. The cubic root of 54566208 is about 379.2927936129.

It can be divided in two parts, 5456 and 6208, that added together give a square (11664 = 108²).

The spelling of 54566208 in words is "fifty-four million, five hundred sixty-six thousand, two hundred eight".