1682990760 has 256 divisors, whose sum is σ = 5702400000. Its totient is φ = 393845760.

The previous prime is 1682990737. The next prime is 1682990761. The reversal of 1682990760 is 670992861.

It is not an unprimeable number, because it can be changed into a prime (1682990761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8457141 + ... + 8457339.

It is an arithmetic number, because the mean of its divisors is an integer number (22275000).

Almost surely, 2^1682990760 is an apocalyptic number.

1682990760 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 1682990760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200000).

1682990760 is an abundant number, since it is smaller than the sum of its proper divisors (4019409240).

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

1682990760 is a wasteful number, since it uses less digits than its factorization.

1682990760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The square root of 1682990760 is about 41024.2703774241. The cubic root of 1682990760 is about 1189.4894026787.

The spelling of 1682990760 in words is "one billion, six hundred eighty-two million, nine hundred ninety thousand, seven hundred sixty".