1968160 has 24 divisors (see below), whose sum is σ = 4650156. Its totient is φ = 787200.

The previous prime is 1968157. The next prime is 1968163. The reversal of 1968160 is 618691.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1968157) and next prime (1968163).

It can be written as a sum of positive squares in 2 ways, for example, as 1926544 + 41616 = 1388^2 + 204^2 .

It is not an unprimeable number, because it can be changed into a prime (1968163) 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, 5991 + ... + 6310.

2^1968160 is an apocalyptic number.

1968160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968160 is an abundant number, since it is smaller than the sum of its proper divisors (2681996).

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

1968160 is a wasteful number, since it uses less digits than its factorization.

1968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12316 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 1968160 is about 1402.9112587758. The cubic root of 1968160 is about 125.3199271411.

The spelling of 1968160 in words is "one million, nine hundred sixty-eight thousand, one hundred sixty".