664800 has 72 divisors (see below), whose sum is σ = 2171736. Its totient is φ = 176640.

The previous prime is 664799. The next prime is 664843. The reversal of 664800 is 8466.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 664800.

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, 2262 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (30163).

2⁶⁶⁴⁸⁰⁰ is an apocalyptic number.

664800 is a gapful number since it is divisible by the number (60) 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 664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085868).

664800 is an abundant number, since it is smaller than the sum of its proper divisors (1506936).

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

664800 is a wasteful number, since it uses less digits than its factorization.

664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 664800 is about 815.3526844256. The cubic root of 664800 is about 87.2764360798.

The spelling of 664800 in words is "six hundred sixty-four thousand, eight hundred".