54334600 has 48 divisors (see below), whose sum is σ = 127558800. Its totient is φ = 21522240.

The previous prime is 54334597. The next prime is 54334627. The reversal of 54334600 is 643345.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 20131 + ... + 22669.

It is an arithmetic number, because the mean of its divisors is an integer number (2657475).

Almost surely, 2^54334600 is an apocalyptic number.

54334600 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 54334600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63779400).

54334600 is an abundant number, since it is smaller than the sum of its proper divisors (73224200).

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

54334600 is a wasteful number, since it uses less digits than its factorization.

54334600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 54334600 is about 7371.2007163012. The cubic root of 54334600 is about 378.7553924592.

Adding to 54334600 its reverse (643345), we get a palindrome (54977945).

The spelling of 54334600 in words is "fifty-four million, three hundred thirty-four thousand, six hundred".