1685663460 has 360 divisors, whose sum is σ = 5892518016. Its totient is φ = 403004160.

The previous prime is 1685663449. The next prime is 1685663461. The reversal of 1685663460 is 643665861.

1685663460 is a `hidden beast` number, since 1 + 6 + 8 + 5 + 6 + 634 + 6 + 0 = 666.

It is a super-2 number, since 2×1685663460² = 5682922600758343200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1685663461) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12867595 + ... + 12867725.

Almost surely, 2^1685663460 is an apocalyptic number.

1685663460 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 1685663460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946259008).

1685663460 is an abundant number, since it is smaller than the sum of its proper divisors (4206854556).

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

1685663460 is a wasteful number, since it uses less digits than its factorization.

1685663460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 1685663460 is about 41056.8320745768. The cubic root of 1685663460 is about 1190.1187321213.

The spelling of 1685663460 in words is "one billion, six hundred eighty-five million, six hundred sixty-three thousand, four hundred sixty".