54638080 has 80 divisors (see below), whose sum is σ = 149767200. Its totient is φ = 18726912.

The previous prime is 54638069. The next prime is 54638081. The reversal of 54638080 is 8083645.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54638081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16396 + ... + 19444.

It is an arithmetic number, because the mean of its divisors is an integer number (1872090).

Almost surely, 2^54638080 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 54638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74883600).

54638080 is an abundant number, since it is smaller than the sum of its proper divisors (95129120).

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

54638080 is an equidigital number, since it uses as much as digits as its factorization.

54638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3079 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 54638080 is about 7391.7575717822. The cubic root of 54638080 is about 379.4592493288.

The spelling of 54638080 in words is "fifty-four million, six hundred thirty-eight thousand, eighty".