1690128 has 90 divisors (see below), whose sum is σ = 5252702. Its totient is φ = 506880.

The previous prime is 1690121. The next prime is 1690153. The reversal of 1690128 is 8210961.

It can be written as a sum of positive squares in only one way, i.e., 1411344 + 278784 = 1188^2 + 528^2 .

It is not an unprimeable number, because it can be changed into a prime (1690121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17376 + ... + 17472.

2^1690128 is an apocalyptic number.

1690128 is a gapful number since it is divisible by the number (18) 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 1690128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626351).

1690128 is an abundant number, since it is smaller than the sum of its proper divisors (3562574).

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

1690128 is a wasteful number, since it uses less digits than its factorization.

1690128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1690128 is about 1300.0492298371. The cubic root of 1690128 is about 119.1168496571.

The spelling of 1690128 in words is "one million, six hundred ninety thousand, one hundred twenty-eight".