1275961984 has 192 divisors, whose sum is σ = 3062888640. Its totient is φ = 523776000.

The previous prime is 1275961937. The next prime is 1275962021. The reversal of 1275961984 is 4891695721.

It is a super-2 number, since 2×1275961984² = 3256157969226432512, which contains 22 as substring.

Its product of digits (1088640) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31121004 + ... + 31121044.

It is an arithmetic number, because the mean of its divisors is an integer number (15952545).

Almost surely, 2^1275961984 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 1275961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531444320).

1275961984 is an abundant number, since it is smaller than the sum of its proper divisors (1786926656).

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

1275961984 is a wasteful number, since it uses less digits than its factorization.

1275961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 52.

The square root of 1275961984 is about 35720.6100731776. The cubic root of 1275961984 is about 1084.6240874623.

The spelling of 1275961984 in words is "one billion, two hundred seventy-five million, nine hundred sixty-one thousand, nine hundred eighty-four".