1830790656 has 120 divisors (see below), whose sum is σ = 5594836104. Its totient is φ = 574341120.

The previous prime is 1830790649. The next prime is 1830790669. The reversal of 1830790656 is 6560970381.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66651 + ... + 90021.

Almost surely, 2^1830790656 is an apocalyptic number.

1830790656 is a gapful number since it is divisible by the number (16) 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 1830790656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797418052).

1830790656 is an abundant number, since it is smaller than the sum of its proper divisors (3764045448).

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

1830790656 is a wasteful number, since it uses less digits than its factorization.

1830790656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23412 (or 23393 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1830790656 is about 42787.7395523531. The cubic root of 1830790656 is about 1223.3373319311.

The spelling of 1830790656 in words is "one billion, eight hundred thirty million, seven hundred ninety thousand, six hundred fifty-six".