54306800 has 60 divisors (see below), whose sum is σ = 131557056. Its totient is φ = 21542400.

The previous prime is 54306797. The next prime is 54306803. The reversal of 54306800 is 860345.

It is an interprime number because it is at equal distance from previous prime (54306797) and next prime (54306803).

It is a self number, because there is not a number n which added to its sum of digits gives 54306800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54306803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54305 + ... + 55295.

Almost surely, 2^54306800 is an apocalyptic number.

54306800 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 54306800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65778528).

54306800 is an abundant number, since it is smaller than the sum of its proper divisors (77250256).

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

54306800 is a wasteful number, since it uses less digits than its factorization.

54306800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 54306800 is about 7369.3147578320. The cubic root of 54306800 is about 378.6907853998.

The spelling of 54306800 in words is "fifty-four million, three hundred six thousand, eight hundred".