1164339792 has 640 divisors, whose sum is σ = 4628275200. Its totient is φ = 270950400.

The previous prime is 1164339773. The next prime is 1164339793. The reversal of 1164339792 is 2979334611.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164339793) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 16399117 + ... + 16399187.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2^1164339792 is an apocalyptic number.

1164339792 is a gapful number since it is divisible by the number (12) 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 1164339792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314137600).

1164339792 is an abundant number, since it is smaller than the sum of its proper divisors (3463935408).

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

1164339792 is a wasteful number, since it uses less digits than its factorization.

1164339792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1164339792 is about 34122.4235950496. The cubic root of 1164339792 is about 1052.0262586997.

The spelling of 1164339792 in words is "one billion, one hundred sixty-four million, three hundred thirty-nine thousand, seven hundred ninety-two".