1690120080 has 400 divisors, whose sum is σ = 6488209728. Its totient is φ = 404352000.

The previous prime is 1690120051. The next prime is 1690120111. The reversal of 1690120080 is 800210961.

1690120080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9337590 + ... + 9337770.

Almost surely, 2^1690120080 is an apocalyptic number.

1690120080 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 1690120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3244104864).

1690120080 is an abundant number, since it is smaller than the sum of its proper divisors (4798089648).

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

1690120080 is a wasteful number, since it uses less digits than its factorization.

1690120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 333 counting only the distinct ones).

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

The square root of 1690120080 is about 41111.0700420215. The cubic root of 1690120080 is about 1191.1666359488.

The spelling of 1690120080 in words is "one billion, six hundred ninety million, one hundred twenty thousand, eighty".