54334800 has 360 divisors, whose sum is σ = 215479264. Its totient is φ = 13063680.

The previous prime is 54334781. The next prime is 54334801. The reversal of 54334800 is 843345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54334801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263579 + ... + 1263621.

Almost surely, 2^54334800 is an apocalyptic number.

54334800 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 54334800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107739632).

54334800 is an abundant number, since it is smaller than the sum of its proper divisors (161144464).

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

54334800 is a wasteful number, since it uses less digits than its factorization.

54334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54334800 is about 7371.2142825996. The cubic root of 54334800 is about 378.7558571783.

The spelling of 54334800 in words is "fifty-four million, three hundred thirty-four thousand, eight hundred".