1164085824 has 168 divisors, whose sum is σ = 3429548640. Its totient is φ = 348170240.

The previous prime is 1164085789. The next prime is 1164085831. The reversal of 1164085824 is 4285804611.

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, 2067367 + ... + 2067929.

It is an arithmetic number, because the mean of its divisors is an integer number (20413980).

Almost surely, 2^1164085824 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 1164085824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714774320).

1164085824 is an abundant number, since it is smaller than the sum of its proper divisors (2265462816).

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

1164085824 is a wasteful number, since it uses less digits than its factorization.

1164085824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1164085824 is about 34118.7019682754. The cubic root of 1164085824 is about 1051.9497631511.

The spelling of 1164085824 in words is "one billion, one hundred sixty-four million, eighty-five thousand, eight hundred twenty-four".