1290891888 has 360 divisors, whose sum is σ = 4412269680. Its totient is φ = 349747200.

The previous prime is 1290891871. The next prime is 1290891907. The reversal of 1290891888 is 8881980921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9286923 + ... + 9287061.

Almost surely, 2^1290891888 is an apocalyptic number.

1290891888 is a gapful number since it is divisible by the number (18) 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 1290891888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206134840).

1290891888 is an abundant number, since it is smaller than the sum of its proper divisors (3121377792).

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

1290891888 is a wasteful number, since it uses less digits than its factorization.

1290891888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The square root of 1290891888 is about 35928.9839544622. The cubic root of 1290891888 is about 1088.8380536652.

The spelling of 1290891888 in words is "one billion, two hundred ninety million, eight hundred ninety-one thousand, eight hundred eighty-eight".