1690333920 has 480 divisors, whose sum is σ = 6638962176. Its totient is φ = 401587200.

The previous prime is 1690333903. The next prime is 1690333921. The reversal of 1690333920 is 293330961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1690333920² = 5714457522205132800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690333921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10121677 + ... + 10121843.

Almost surely, 2^1690333920 is an apocalyptic number.

1690333920 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 1690333920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319481088).

1690333920 is an abundant number, since it is smaller than the sum of its proper divisors (4948628256).

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

1690333920 is a wasteful number, since it uses less digits than its factorization.

1690333920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1690333920 is about 41113.6707191173. The cubic root of 1690333920 is about 1191.2168707092.

The spelling of 1690333920 in words is "one billion, six hundred ninety million, three hundred thirty-three thousand, nine hundred twenty".