1164541536 has 144 divisors (see below), whose sum is σ = 3545837568. Its totient is φ = 375580800.

The previous prime is 1164541519. The next prime is 1164541549. The reversal of 1164541536 is 6351454611.

1164541536 is a `hidden beast` number, since 1 + 1 + 64 + 541 + 53 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1164541536.

It is a congruent number.

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, 238641 + ... + 243471.

It is an arithmetic number, because the mean of its divisors is an integer number (24623872).

Almost surely, 2^1164541536 is an apocalyptic number.

1164541536 is a gapful number since it is divisible by the number (16) 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 1164541536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772918784).

1164541536 is an abundant number, since it is smaller than the sum of its proper divisors (2381296032).

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

1164541536 is an equidigital number, since it uses as much as digits as its factorization.

1164541536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4887 (or 4867 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 1164541536 is about 34125.3796462398. The cubic root of 1164541536 is about 1052.0870163725.

The spelling of 1164541536 in words is "one billion, one hundred sixty-four million, five hundred forty-one thousand, five hundred thirty-six".