1164330720 has 384 divisors, whose sum is σ = 4707763200. Its totient is φ = 263264256.

The previous prime is 1164330709. The next prime is 1164330779. The reversal of 1164330720 is 270334611.

1164330720 is a `hidden beast` number, since 11 + 643 + 3 + 0 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4203222 + ... + 4203498.

It is an arithmetic number, because the mean of its divisors is an integer number (12259800).

Almost surely, 2^1164330720 is an apocalyptic number.

1164330720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164330720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2353881600).

1164330720 is an abundant number, since it is smaller than the sum of its proper divisors (3543432480).

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

1164330720 is a wasteful number, since it uses less digits than its factorization.

1164330720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1164330720 is about 34122.2906616774. The cubic root of 1164330720 is about 1052.0235263910.

The spelling of 1164330720 in words is "one billion, one hundred sixty-four million, three hundred thirty thousand, seven hundred twenty".