1147981824 has 312 divisors, whose sum is σ = 3833388000. Its totient is φ = 327352320.

The previous prime is 1147981811. The next prime is 1147981871. The reversal of 1147981824 is 4281897411.

It is a self number, because there is not a number n which added to its sum of digits gives 1147981824.

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, 7704502 + ... + 7704650.

It is an arithmetic number, because the mean of its divisors is an integer number (12286500).

Almost surely, 2^1147981824 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 1147981824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916694000).

1147981824 is an abundant number, since it is smaller than the sum of its proper divisors (2685406176).

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

1147981824 is a wasteful number, since it uses less digits than its factorization.

1147981824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 1147981824 is about 33881.8804672940. The cubic root of 1147981824 is about 1047.0763183860.

The spelling of 1147981824 in words is "one billion, one hundred forty-seven million, nine hundred eighty-one thousand, eight hundred twenty-four".