54820224 has 96 divisors (see below), whose sum is σ = 164689200. Its totient is φ = 17470464.

The previous prime is 54820217. The next prime is 54820253. The reversal of 54820224 is 42202845.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25462 + ... + 27530.

Almost surely, 2^54820224 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 54820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82344600).

54820224 is an abundant number, since it is smaller than the sum of its proper divisors (109868976).

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

54820224 is a wasteful number, since it uses less digits than its factorization.

54820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 54820224 is about 7404.0680709999. The cubic root of 54820224 is about 379.8804425359.

The spelling of 54820224 in words is "fifty-four million, eight hundred twenty thousand, two hundred twenty-four".