54092800 has 66 divisors (see below), whose sum is σ = 134148098. Its totient is φ = 21626880.

The previous prime is 54092783. The next prime is 54092813. The reversal of 54092800 is 829045.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 861184 + 53231616 = 928^2 + 7296^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24544 + ... + 26656.

Almost surely, 2^54092800 is an apocalyptic number.

54092800 is a gapful number since it is divisible by the number (50) 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 54092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67074049).

54092800 is an abundant number, since it is smaller than the sum of its proper divisors (80055298).

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

54092800 is a wasteful number, since it uses less digits than its factorization.

54092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 54092800 is about 7354.7807581192. The cubic root of 54092800 is about 378.1927108213.

The spelling of 54092800 in words is "fifty-four million, ninety-two thousand, eight hundred".