1631160 has 96 divisors (see below), whose sum is σ = 5559840. Its totient is φ = 413952.

The previous prime is 1631159. The next prime is 1631171. The reversal of 1631160 is 611361.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8182 + ... + 8378.

It is an arithmetic number, because the mean of its divisors is an integer number (57915).

2^1631160 is an apocalyptic number.

1631160 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 1631160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779920).

1631160 is an abundant number, since it is smaller than the sum of its proper divisors (3928680).

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

1631160 is a wasteful number, since it uses less digits than its factorization.

1631160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1631160 is about 1277.1687437453. The cubic root of 1631160 is about 117.7151031861.

The spelling of 1631160 in words is "one million, six hundred thirty-one thousand, one hundred sixty".