1164032160 has 192 divisors, whose sum is σ = 4017081600. Its totient is φ = 282017792.

The previous prime is 1164032159. The next prime is 1164032161. The reversal of 1164032160 is 612304611.

It is an interprime number because it is at equal distance from previous prime (1164032159) and next prime (1164032161).

It is a super-3 number, since 3×1164032160³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1164032160.

It is not an unprimeable number, because it can be changed into a prime (1164032161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234181 + ... + 239099.

It is an arithmetic number, because the mean of its divisors is an integer number (20922300).

Almost surely, 2^1164032160 is an apocalyptic number.

1164032160 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 1164032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008540800).

1164032160 is an abundant number, since it is smaller than the sum of its proper divisors (2853049440).

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

1164032160 is a wasteful number, since it uses less digits than its factorization.

1164032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4983 (or 4975 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1164032160 is about 34117.9155283555. The cubic root of 1164032160 is about 1051.9335980487.

Adding to 1164032160 its reverse (612304611), we get a palindrome (1776336771).

The spelling of 1164032160 in words is "one billion, one hundred sixty-four million, thirty-two thousand, one hundred sixty".