1164289280 has 144 divisors (see below), whose sum is σ = 3477285504. Its totient is φ = 362864640.

The previous prime is 1164289271. The next prime is 1164289307. The reversal of 1164289280 is 829824611.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92654 + ... + 104466.

It is an arithmetic number, because the mean of its divisors is an integer number (24147816).

Almost surely, 2^1164289280 is an apocalyptic number.

1164289280 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 1164289280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738642752).

1164289280 is an abundant number, since it is smaller than the sum of its proper divisors (2312996224).

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

1164289280 is a wasteful number, since it uses less digits than its factorization.

1164289280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11852 (or 11838 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 1164289280 is about 34121.6834285766. The cubic root of 1164289280 is about 1052.0110452945.

The spelling of 1164289280 in words is "one billion, one hundred sixty-four million, two hundred eighty-nine thousand, two hundred eighty".