664095200 has 72 divisors (see below), whose sum is σ = 1637473320. Its totient is φ = 262976000.

The previous prime is 664095181. The next prime is 664095217. The reversal of 664095200 is 2590466.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76691 + ... + 84909.

It is an arithmetic number, because the mean of its divisors is an integer number (22742685).

Almost surely, 2^664095200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818736660).

664095200 is an abundant number, since it is smaller than the sum of its proper divisors (973378120).

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

664095200 is a wasteful number, since it uses less digits than its factorization.

664095200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8340 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 664095200 is about 25770.0446254949. The cubic root of 664095200 is about 872.4558259861.

The spelling of 664095200 in words is "six hundred sixty-four million, ninety-five thousand, two hundred".