1681160 has 64 divisors (see below), whose sum is σ = 4218480. Its totient is φ = 599040.

The previous prime is 1681157. The next prime is 1681187. The reversal of 1681160 is 611861.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 178084 + 1503076 = 422^2 + 1226^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27530 + ... + 27590.

2^1681160 is an apocalyptic number.

1681160 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 1681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109240).

1681160 is an abundant number, since it is smaller than the sum of its proper divisors (2537320).

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

1681160 is a wasteful number, since it uses less digits than its factorization.

1681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1681160 is about 1296.5955421796. The cubic root of 1681160 is about 118.9057936709.

The spelling of 1681160 in words is "one million, six hundred eighty-one thousand, one hundred sixty".