1164147264 has 168 divisors, whose sum is σ = 3837188160. Its totient is φ = 330550272.

The previous prime is 1164147227. The next prime is 1164147331. The reversal of 1164147264 is 4627414611.

It is a happy number.

1164147264 is a `hidden beast` number, since 1 + 1 + 641 + 4 + 7 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

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 23 ways as a sum of consecutive naturals, for example, 720922 + ... + 722534.

Almost surely, 2^1164147264 is an apocalyptic number.

1164147264 is a gapful number since it is divisible by the number (14) 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 1164147264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918594080).

1164147264 is an abundant number, since it is smaller than the sum of its proper divisors (2673040896).

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

1164147264 is a wasteful number, since it uses less digits than its factorization.

1164147264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1804 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1164147264 is about 34119.6023423486. The cubic root of 1164147264 is about 1051.9682699929.

The spelling of 1164147264 in words is "one billion, one hundred sixty-four million, one hundred forty-seven thousand, two hundred sixty-four".