1249653834 has 96 divisors (see below), whose sum is σ = 3283757568. Its totient is φ = 338256000.

The previous prime is 1249653817. The next prime is 1249653863. The reversal of 1249653834 is 4383569421.

1249653834 is a `hidden beast` number, since 1 + 24 + 96 + 538 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1249653834.

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, 71964 + ... + 87624.

It is an arithmetic number, because the mean of its divisors is an integer number (34205808).

Almost surely, 2^1249653834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1249653834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641878784).

1249653834 is an abundant number, since it is smaller than the sum of its proper divisors (2034103734).

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

1249653834 is a wasteful number, since it uses less digits than its factorization.

1249653834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15724 (or 15721 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 1249653834 is about 35350.4431938271. The cubic root of 1249653834 is about 1077.1178968967.

The spelling of 1249653834 in words is "one billion, two hundred forty-nine million, six hundred fifty-three thousand, eight hundred thirty-four".