1690224640 has 96 divisors (see below), whose sum is σ = 4367858040. Its totient is φ = 624033792.

The previous prime is 1690224637. The next prime is 1690224649. The reversal of 1690224640 is 464220961.

It can be written as a sum of positive squares in 4 ways, for example, as 791184384 + 899040256 = 28128^2 + 29984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1690224596 and 1690224605.

It is not an unprimeable number, because it can be changed into a prime (1690224649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126772 + ... + 139468.

Almost surely, 2^1690224640 is an apocalyptic number.

1690224640 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 1690224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183929020).

1690224640 is an abundant number, since it is smaller than the sum of its proper divisors (2677633400).

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

1690224640 is a wasteful number, since it uses less digits than its factorization.

1690224640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12717 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 1690224640 is about 41112.3416993000. The cubic root of 1690224640 is about 1191.1911994530.

The spelling of 1690224640 in words is "one billion, six hundred ninety million, two hundred twenty-four thousand, six hundred forty".