1279534960 has 80 divisors (see below), whose sum is σ = 3263898240. Its totient is φ = 462629120.

The previous prime is 1279534943. The next prime is 1279535009. The reversal of 1279534960 is 694359721.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1279534960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153459 + ... + 161581.

It is an arithmetic number, because the mean of its divisors is an integer number (40798728).

Almost surely, 2^1279534960 is an apocalyptic number.

1279534960 is a gapful number since it is divisible by the number (10) 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 1279534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631949120).

1279534960 is an abundant number, since it is smaller than the sum of its proper divisors (1984363280).

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

1279534960 is a wasteful number, since it uses less digits than its factorization.

1279534960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8320 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 1279534960 is about 35770.5879180088. The cubic root of 1279534960 is about 1085.6355397973.

The spelling of 1279534960 in words is "one billion, two hundred seventy-nine million, five hundred thirty-four thousand, nine hundred sixty".