1664800 has 36 divisors (see below), whose sum is σ = 4066146. Its totient is φ = 665600.

The previous prime is 1664797. The next prime is 1664801. The reversal of 1664800 is 84661.

It can be written as a sum of positive squares in 3 ways, for example, as 1140624 + 524176 = 1068^2 + 724^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1664801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 241 + ... + 1840.

2^1664800 is an apocalyptic number.

1664800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1664800 is an abundant number, since it is smaller than the sum of its proper divisors (2401346).

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

1664800 is a wasteful number, since it uses less digits than its factorization.

1664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1664800 is about 1290.2712893031. The cubic root of 1664800 is about 118.5188300532.

The spelling of 1664800 in words is "one million, six hundred sixty-four thousand, eight hundred".