664200 has 120 divisors (see below), whose sum is σ = 2363130. Its totient is φ = 172800.

The previous prime is 664199. The next prime is 664211. The reversal of 664200 is 2466.

664200 is a `hidden beast` number, since 664 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 311364 + 352836 = 558^2 + 594^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16180 + ... + 16220.

2⁶⁶⁴²⁰⁰ is an apocalyptic number.

664200 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 664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181565).

664200 is an abundant number, since it is smaller than the sum of its proper divisors (1698930).

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

664200 is a wasteful number, since it uses less digits than its factorization.

664200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 664200 is about 814.9846624324. The cubic root of 664200 is about 87.2501717279.

Adding to 664200 its reverse (2466), we get a palindrome (666666).

The spelling of 664200 in words is "six hundred sixty-four thousand, two hundred".