54819216 has 45 divisors (see below), whose sum is σ = 153666721. Its totient is φ = 18243456.

The previous prime is 54819211. The next prime is 54819217. The reversal of 54819216 is 61291845.

The square root of 54819216 is 7404.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 53231616 = 1260^2 + 7296^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (54819211) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 88540 + ... + 89156.

Almost surely, 2^54819216 is an apocalyptic number.

54819216 is the 7404-th square number.

It is an amenable number.

54819216 is an abundant number, since it is smaller than the sum of its proper divisors (98847505).

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

54819216 is an equidigital number, since it uses as much as digits as its factorization.

54819216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 622 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The cubic root of 54819216 is about 379.8781141870.

Multiplying 54819216 by its sum of digits (36), we get a square (1973491776 = 44424²).

54819216 divided by its sum of digits (36) gives a square (1522756 = 1234²).

The spelling of 54819216 in words is "fifty-four million, eight hundred nineteen thousand, two hundred sixteen".