1283361920 has 128 divisors (see below), whose sum is σ = 3169082880. Its totient is φ = 496742400.

The previous prime is 1283361917. The next prime is 1283361941. The reversal of 1283361920 is 291633821.

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

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2771609 + ... + 2772071.

It is an arithmetic number, because the mean of its divisors is an integer number (24758460).

Almost surely, 2^1283361920 is an apocalyptic number.

1283361920 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 1283361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584541440).

1283361920 is an abundant number, since it is smaller than the sum of its proper divisors (1885720960).

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

1283361920 is an equidigital number, since it uses as much as digits as its factorization.

1283361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 1283361920 is about 35824.0410897487. The cubic root of 1283361920 is about 1086.7168046588.

The spelling of 1283361920 in words is "one billion, two hundred eighty-three million, three hundred sixty-one thousand, nine hundred twenty".