1290891168 has 120 divisors (see below), whose sum is σ = 4338889632. Its totient is φ = 368820864.

The previous prime is 1290891157. The next prime is 1290891241. The reversal of 1290891168 is 8611980921.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17430 + ... + 53717.

Almost surely, 2^1290891168 is an apocalyptic number.

1290891168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290891168 is an abundant number, since it is smaller than the sum of its proper divisors (3047998464).

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

1290891168 is an equidigital number, since it uses as much as digits as its factorization.

1290891168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71176 (or 71159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 1290891168 is about 35928.9739346951. The cubic root of 1290891168 is about 1088.8378512306.

The spelling of 1290891168 in words is "one billion, two hundred ninety million, eight hundred ninety-one thousand, one hundred sixty-eight".