1682311680 has 800 divisors, whose sum is σ = 7367564160. Its totient is φ = 358318080.

The previous prime is 1682311667. The next prime is 1682311681. The reversal of 1682311680 is 861132861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1682311681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27578850 + ... + 27578910.

Almost surely, 2^1682311680 is an apocalyptic number.

1682311680 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 1682311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3683782080).

1682311680 is an abundant number, since it is smaller than the sum of its proper divisors (5685252480).

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

1682311680 is an equidigital number, since it uses as much as digits as its factorization.

1682311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1682311680 is about 41015.9929783493. The cubic root of 1682311680 is about 1189.3293964268.

The spelling of 1682311680 in words is "one billion, six hundred eighty-two million, three hundred eleven thousand, six hundred eighty".