1292086944 has 192 divisors, whose sum is σ = 4096512000. Its totient is φ = 394709760.

The previous prime is 1292086937. The next prime is 1292086969. The reversal of 1292086944 is 4496802921.

It is a self number, because there is not a number n which added to its sum of digits gives 1292086944.

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 31 ways as a sum of consecutive naturals, for example, 507627 + ... + 510165.

It is an arithmetic number, because the mean of its divisors is an integer number (21336000).

Almost surely, 2^1292086944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292086944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256000).

1292086944 is an abundant number, since it is smaller than the sum of its proper divisors (2804425056).

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

1292086944 is a wasteful number, since it uses less digits than its factorization.

1292086944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1292086944 is about 35945.6109142688. The cubic root of 1292086944 is about 1089.1739509177.

The spelling of 1292086944 in words is "one billion, two hundred ninety-two million, eighty-six thousand, nine hundred forty-four".