1283376960 has 280 divisors, whose sum is σ = 4639604640. Its totient is φ = 336669696.

The previous prime is 1283376953. The next prime is 1283376973. The reversal of 1283376960 is 696733821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1736271 + ... + 1737009.

Almost surely, 2^1283376960 is an apocalyptic number.

1283376960 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 1283376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319802320).

1283376960 is an abundant number, since it is smaller than the sum of its proper divisors (3356227680).

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

1283376960 is an equidigital number, since it uses as much as digits as its factorization.

1283376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 1283376960 is about 35824.2510040336. The cubic root of 1283376960 is about 1086.7210497998.

The spelling of 1283376960 in words is "one billion, two hundred eighty-three million, three hundred seventy-six thousand, nine hundred sixty".