1632160 has 36 divisors (see below), whose sum is σ = 3894534. Its totient is φ = 646400.

The previous prime is 1632143. The next prime is 1632167. The reversal of 1632160 is 612361.

It can be written as a sum of positive squares in 3 ways, for example, as 1607824 + 24336 = 1268^2 + 156^2 .

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1632167) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16110 + ... + 16210.

2^1632160 is an apocalyptic number.

1632160 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 1632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947267).

1632160 is an abundant number, since it is smaller than the sum of its proper divisors (2262374).

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

1632160 is an equidigital number, since it uses as much as digits as its factorization.

1632160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1632160 is about 1277.5601747080. The cubic root of 1632160 is about 117.7391537710.

The spelling of 1632160 in words is "one million, six hundred thirty-two thousand, one hundred sixty".