54364800 has 192 divisors, whose sum is σ = 204897600. Its totient is φ = 12410880.

The previous prime is 54364799. The next prime is 54364813. The reversal of 54364800 is 846345.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66796 + ... + 67604.

It is an arithmetic number, because the mean of its divisors is an integer number (1067175).

Almost surely, 2^54364800 is an apocalyptic number.

54364800 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 54364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102448800).

54364800 is an abundant number, since it is smaller than the sum of its proper divisors (150532800).

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

54364800 is a wasteful number, since it uses less digits than its factorization.

54364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54364800 is about 7373.2489446648. The cubic root of 54364800 is about 378.8255521382.

The spelling of 54364800 in words is "fifty-four million, three hundred sixty-four thousand, eight hundred".