1283268096 has 400 divisors, whose sum is σ = 4367064240. Its totient is φ = 371589120.

The previous prime is 1283268083. The next prime is 1283268097. The reversal of 1283268096 is 6908623821.

It is a super-2 number, since 2×1283268096² = 3293554012422930432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1283268097) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 13229520 + ... + 13229616.

Almost surely, 2^1283268096 is an apocalyptic number.

1283268096 is a gapful number since it is divisible by the number (16) 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 1283268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183532120).

1283268096 is an abundant number, since it is smaller than the sum of its proper divisors (3083796144).

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

1283268096 is an equidigital number, since it uses as much as digits as its factorization.

1283268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1283268096 is about 35822.7315541403. The cubic root of 1283268096 is about 1086.6903214560.

The spelling of 1283268096 in words is "one billion, two hundred eighty-three million, two hundred sixty-eight thousand, ninety-six".