1249668936 has 192 divisors, whose sum is σ = 3656016000. Its totient is φ = 384721920.

The previous prime is 1249668919. The next prime is 1249668961. The reversal of 1249668936 is 6398669421.

1249668936 is a `hidden beast` number, since 1 + 2 + 496 + 68 + 93 + 6 = 666.

1249668936 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3359232) is a multiple of the sum of its prime factors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8990355 + ... + 8990493.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^1249668936 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 1249668936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

1249668936 is an abundant number, since it is smaller than the sum of its proper divisors (2406347064).

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

1249668936 is a wasteful number, since it uses less digits than its factorization.

1249668936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 317 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1249668936 is about 35350.6567972930. The cubic root of 1249668936 is about 1077.1222358500.

The spelling of 1249668936 in words is "one billion, two hundred forty-nine million, six hundred sixty-eight thousand, nine hundred thirty-six".