1685902680 has 768 divisors, whose sum is σ = 7507584000. Its totient is φ = 328458240.

The previous prime is 1685902651. The next prime is 1685902681. The reversal of 1685902680 is 862095861.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1685902681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17380392 + ... + 17380488.

It is an arithmetic number, because the mean of its divisors is an integer number (9775500).

Almost surely, 2^1685902680 is an apocalyptic number.

1685902680 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 1685902680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753792000).

1685902680 is an abundant number, since it is smaller than the sum of its proper divisors (5821681320).

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

1685902680 is a wasteful number, since it uses less digits than its factorization.

1685902680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1685902680 is about 41059.7452500621. The cubic root of 1685902680 is about 1190.1750278061.

The spelling of 1685902680 in words is "one billion, six hundred eighty-five million, nine hundred two thousand, six hundred eighty".