1249285968 has 180 divisors, whose sum is σ = 4109695668. Its totient is φ = 353203200.

The previous prime is 1249285943. The next prime is 1249285979. The reversal of 1249285968 is 8695829421.

It is a happy number.

1249285968 is a `hidden beast` number, since 1 + 2 + 49 + 2 + 8 + 596 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 605750544 + 643535424 = 24612^2 + 25368^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 711780 + ... + 713532.

Almost surely, 2^1249285968 is an apocalyptic number.

1249285968 is a gapful number since it is divisible by the number (18) 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 1249285968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054847834).

1249285968 is an abundant number, since it is smaller than the sum of its proper divisors (2860409700).

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

1249285968 is a wasteful number, since it uses less digits than its factorization.

1249285968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1866 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1249285968 is about 35345.2396794816. The cubic root of 1249285968 is about 1077.0121945738.

The spelling of 1249285968 in words is "one billion, two hundred forty-nine million, two hundred eighty-five thousand, nine hundred sixty-eight".