1664331200 has 168 divisors, whose sum is σ = 4711927584. Its totient is φ = 566784000.

The previous prime is 1664331197. The next prime is 1664331217. The reversal of 1664331200 is 21334661.

It is a self number, because there is not a number n which added to its sum of digits gives 1664331200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2026790 + ... + 2027610.

It is an arithmetic number, because the mean of its divisors is an integer number (28047188).

Almost surely, 2^1664331200 is an apocalyptic number.

1664331200 is a gapful number since it is divisible by the number (10) 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 1664331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355963792).

1664331200 is an abundant number, since it is smaller than the sum of its proper divisors (3047596384).

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

1664331200 is a wasteful number, since it uses less digits than its factorization.

1664331200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 1664331200 is about 40796.2155107554. The cubic root of 1664331200 is about 1185.0770422354.

Adding to 1664331200 its reverse (21334661), we get a palindrome (1685665861).

The spelling of 1664331200 in words is "one billion, six hundred sixty-four million, three hundred thirty-one thousand, two hundred".