1249674624 has 192 divisors, whose sum is σ = 4154464080. Its totient is φ = 356352000.

The previous prime is 1249674619. The next prime is 1249674637. The reversal of 1249674624 is 4264769421.

1249674624 is a `hidden beast` number, since 12 + 4 + 9 + 6 + 7 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 1249674624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212524 + ... + 218324.

Almost surely, 2^1249674624 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 1249674624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2077232040).

1249674624 is an abundant number, since it is smaller than the sum of its proper divisors (2904789456).

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

1249674624 is a wasteful number, since it uses less digits than its factorization.

1249674624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5849 (or 5834 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 1249674624 is about 35350.7372483234. The cubic root of 1249674624 is about 1077.1238700594.

The spelling of 1249674624 in words is "one billion, two hundred forty-nine million, six hundred seventy-four thousand, six hundred twenty-four".