1164053300 has 72 divisors (see below), whose sum is σ = 2609067384. Its totient is φ = 450455040.

The previous prime is 1164053287. The next prime is 1164053309. The reversal of 1164053300 is 33504611.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 24720784 + 1139332516 = 4972^2 + 33754^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164053309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728102 + ... + 729698.

It is an arithmetic number, because the mean of its divisors is an integer number (36237047).

Almost surely, 2^1164053300 is an apocalyptic number.

1164053300 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 1164053300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304533692).

1164053300 is an abundant number, since it is smaller than the sum of its proper divisors (1445014084).

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

1164053300 is a wasteful number, since it uses less digits than its factorization.

1164053300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1164053300 is about 34118.2253348559. The cubic root of 1164053300 is about 1051.9399660691.

Adding to 1164053300 its reverse (33504611), we get a palindrome (1197557911).

The spelling of 1164053300 in words is "one billion, one hundred sixty-four million, fifty-three thousand, three hundred".