1282879360 has 128 divisors (see below), whose sum is σ = 3522916800. Its totient is φ = 437600256.

The previous prime is 1282879337. The next prime is 1282879369. The reversal of 1282879360 is 639782821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1282879360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282879369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1043226 + ... + 1044454.

Almost surely, 2^1282879360 is an apocalyptic number.

1282879360 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 1282879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761458400).

1282879360 is an abundant number, since it is smaller than the sum of its proper divisors (2240037440).

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

1282879360 is a wasteful number, since it uses less digits than its factorization.

1282879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 1282879360 is about 35817.3053146101. The cubic root of 1282879360 is about 1086.5805812510.

The spelling of 1282879360 in words is "one billion, two hundred eighty-two million, eight hundred seventy-nine thousand, three hundred sixty".