1249107264 has 112 divisors (see below), whose sum is σ = 3727297600. Its totient is φ = 410116608.

The previous prime is 1249107259. The next prime is 1249107281. The reversal of 1249107264 is 4627019421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110382 + ... + 121170.

Almost surely, 2^1249107264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249107264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863648800).

1249107264 is an abundant number, since it is smaller than the sum of its proper divisors (2478190336).

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

1249107264 is a wasteful number, since it uses less digits than its factorization.

1249107264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10861 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1249107264 is about 35342.7116107409. The cubic root of 1249107264 is about 1076.9608384205.

The spelling of 1249107264 in words is "one billion, two hundred forty-nine million, one hundred seven thousand, two hundred sixty-four".