54966800 has 120 divisors (see below), whose sum is σ = 153698496. Its totient is φ = 18501120.

The previous prime is 54966781. The next prime is 54966809. The reversal of 54966800 is 866945.

It is not an unprimeable number, because it can be changed into a prime (54966809) by changing a digit.

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, 187454 + ... + 187746.

Almost surely, 2^54966800 is an apocalyptic number.

54966800 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 54966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76849248).

54966800 is an abundant number, since it is smaller than the sum of its proper divisors (98731696).

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

54966800 is a wasteful number, since it uses less digits than its factorization.

54966800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 54966800 is about 7413.9598056639. The cubic root of 54966800 is about 380.2187106611.

The spelling of 54966800 in words is "fifty-four million, nine hundred sixty-six thousand, eight hundred".