54090816 has 84 divisors (see below), whose sum is σ = 155063952. Its totient is φ = 16633344.

The previous prime is 54090811. The next prime is 54090833. The reversal of 54090816 is 61809045.

It is not an unprimeable number, because it can be changed into a prime (54090811) 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 11 ways as a sum of consecutive naturals, for example, 31615 + ... + 33281.

Almost surely, 2^54090816 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 54090816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77531976).

54090816 is an abundant number, since it is smaller than the sum of its proper divisors (100973136).

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

54090816 is a wasteful number, since it uses less digits than its factorization.

54090816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 54090816 is about 7354.6458786267. The cubic root of 54090816 is about 378.1880870173.

The spelling of 54090816 in words is "fifty-four million, ninety thousand, eight hundred sixteen".