54665600 has 96 divisors (see below), whose sum is σ = 147412440. Its totient is φ = 19865600.

The previous prime is 54665563. The next prime is 54665623. The reversal of 54665600 is 656645.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34424 + ... + 35976.

Almost surely, 2^54665600 is an apocalyptic number.

54665600 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 54665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73706220).

54665600 is an abundant number, since it is smaller than the sum of its proper divisors (92746840).

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

54665600 is a wasteful number, since it uses less digits than its factorization.

54665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 54665600 is about 7393.6188703503. The cubic root of 54665600 is about 379.5229470636.

The spelling of 54665600 in words is "fifty-four million, six hundred sixty-five thousand, six hundred".