54507816 has 96 divisors (see below), whose sum is σ = 167076000. Its totient is φ = 16511040.

The previous prime is 54507811. The next prime is 54507821. The reversal of 54507816 is 61870545.

It is an interprime number because it is at equal distance from previous prime (54507811) and next prime (54507821).

It is a super-2 number, since 2×54507816² = 5942204010179712, which contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54507811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20110 + ... + 22658.

It is an arithmetic number, because the mean of its divisors is an integer number (1740375).

Almost surely, 2^54507816 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 54507816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000).

54507816 is an abundant number, since it is smaller than the sum of its proper divisors (112568184).

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

54507816 is a wasteful number, since it uses less digits than its factorization.

54507816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 54507816 is about 7382.9408774553. The cubic root of 54507816 is about 379.1574499605.

The spelling of 54507816 in words is "fifty-four million, five hundred seven thousand, eight hundred sixteen".