1690400 has 36 divisors (see below), whose sum is σ = 4128642. Its totient is φ = 675840.

The previous prime is 1690393. The next prime is 1690421. The reversal of 1690400 is 40961.

It can be written as a sum of positive squares in 3 ways, for example, as 633616 + 1056784 = 796^2 + 1028^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 257 + ... + 1856.

2^1690400 is an apocalyptic number.

1690400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1690400 is an abundant number, since it is smaller than the sum of its proper divisors (2438242).

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

1690400 is a wasteful number, since it uses less digits than its factorization.

1690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1690400 is about 1300.1538370516. The cubic root of 1690400 is about 119.1232393201.

The spelling of 1690400 in words is "one million, six hundred ninety thousand, four hundred".