1956160 has 28 divisors (see below), whose sum is σ = 4658868. Its totient is φ = 782336.

The previous prime is 1956109. The next prime is 1956161. The reversal of 1956160 is 616591.

It can be written as a sum of positive squares in 2 ways, for example, as 891136 + 1065024 = 944^2 + 1032^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1956161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2737 + ... + 3376.

2^1956160 is an apocalyptic number.

1956160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1956160 is an abundant number, since it is smaller than the sum of its proper divisors (2702708).

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

1956160 is an equidigital number, since it uses as much as digits as its factorization.

1956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6130 (or 6120 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1956160 is about 1398.6278990496. The cubic root of 1956160 is about 125.0647131585.

It can be divided in two parts, 1956 and 160, that added together give a square (2116 = 46²).

The spelling of 1956160 in words is "one million, nine hundred fifty-six thousand, one hundred sixty".