54838080 has 224 divisors, whose sum is σ = 211409280. Its totient is φ = 13271040.

The previous prime is 54838067. The next prime is 54838099. The reversal of 54838080 is 8083845.

54838080 is a `hidden beast` number, since 548 + 38 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94752 + ... + 95328.

Almost surely, 2^54838080 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 54838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105704640).

54838080 is an abundant number, since it is smaller than the sum of its proper divisors (156571200).

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

54838080 is a wasteful number, since it uses less digits than its factorization.

54838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 54838080 is about 7405.2737964237. The cubic root of 54838080 is about 379.9216828444.

The spelling of 54838080 in words is "fifty-four million, eight hundred thirty-eight thousand, eighty".