1690725960 has 512 divisors, whose sum is σ = 7141478400. Its totient is φ = 349920000.

The previous prime is 1690725947. The next prime is 1690725983. The reversal of 1690725960 is 695270961.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6735835 + ... + 6736085.

It is an arithmetic number, because the mean of its divisors is an integer number (13948200).

Almost surely, 2^1690725960 is an apocalyptic number.

1690725960 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 1690725960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570739200).

1690725960 is an abundant number, since it is smaller than the sum of its proper divisors (5450752440).

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

1690725960 is a wasteful number, since it uses less digits than its factorization.

1690725960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1690725960 is about 41118.4381999122. The cubic root of 1690725960 is about 1191.3089567672.

The spelling of 1690725960 in words is "one billion, six hundred ninety million, seven hundred twenty-five thousand, nine hundred sixty".