54988416 has 128 divisors (see below), whose sum is σ = 185558400. Its totient is φ = 15704064.

The previous prime is 54988397. The next prime is 54988457. The reversal of 54988416 is 61488945.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23056 + ... + 25328.

It is an arithmetic number, because the mean of its divisors is an integer number (1449675).

Almost surely, 2^54988416 is an apocalyptic number.

54988416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92779200).

54988416 is an abundant number, since it is smaller than the sum of its proper divisors (130569984).

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

54988416 is a wasteful number, since it uses less digits than its factorization.

54988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2285 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 54988416 is about 7415.4174528478. The cubic root of 54988416 is about 380.2685451704.

The spelling of 54988416 in words is "fifty-four million, nine hundred eighty-eight thousand, four hundred sixteen".