54336800 has 144 divisors (see below), whose sum is σ = 156989952. Its totient is φ = 17971200.

The previous prime is 54336791. The next prime is 54336809. The reversal of 54336800 is 863345.

It is an interprime number because it is at equal distance from previous prime (54336791) and next prime (54336809).

It is not an unprimeable number, because it can be changed into a prime (54336809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173444 + ... + 173756.

It is an arithmetic number, because the mean of its divisors is an integer number (1090208).

Almost surely, 2^54336800 is an apocalyptic number.

54336800 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 54336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78494976).

54336800 is an abundant number, since it is smaller than the sum of its proper divisors (102653152).

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

54336800 is a wasteful number, since it uses less digits than its factorization.

54336800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 54336800 is about 7371.3499442097. The cubic root of 54336800 is about 378.7605043070.

The spelling of 54336800 in words is "fifty-four million, three hundred thirty-six thousand, eight hundred".