1290979872 has 432 divisors, whose sum is σ = 4768388352. Its totient is φ = 328043520.

The previous prime is 1290979861. The next prime is 1290979889. The reversal of 1290979872 is 2789790921.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5687023 + ... + 5687249.

It is an arithmetic number, because the mean of its divisors is an integer number (11037936).

Almost surely, 2^1290979872 is an apocalyptic number.

1290979872 is a gapful number since it is divisible by the number (12) 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 1290979872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2384194176).

1290979872 is an abundant number, since it is smaller than the sum of its proper divisors (3477408480).

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

1290979872 is a wasteful number, since it uses less digits than its factorization.

1290979872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 1290979872 is about 35930.2083489645. The cubic root of 1290979872 is about 1088.8627906065.

The spelling of 1290979872 in words is "one billion, two hundred ninety million, nine hundred seventy-nine thousand, eight hundred seventy-two".