1282913920 has 64 divisors (see below), whose sum is σ = 3165949440. Its totient is φ = 496604160.

The previous prime is 1282913897. The next prime is 1282913921. The reversal of 1282913920 is 293192821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1282913920² = 3291736252259532800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1282913920.

It is not an unprimeable number, because it can be changed into a prime (1282913921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12492 + ... + 52171.

It is an arithmetic number, because the mean of its divisors is an integer number (49467960).

Almost surely, 2^1282913920 is an apocalyptic number.

1282913920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1282913920 is an abundant number, since it is smaller than the sum of its proper divisors (1883035520).

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

1282913920 is an equidigital number, since it uses as much as digits as its factorization.

1282913920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64713 (or 64701 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 1282913920 is about 35817.7877597151. The cubic root of 1282913920 is about 1086.5903384396.

The spelling of 1282913920 in words is "one billion, two hundred eighty-two million, nine hundred thirteen thousand, nine hundred twenty".