1164087120 has 320 divisors, whose sum is σ = 4285440000. Its totient is φ = 261241344.

The previous prime is 1164087097. The next prime is 1164087131. The reversal of 1164087120 is 217804611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6503191 + ... + 6503369.

It is an arithmetic number, because the mean of its divisors is an integer number (13392000).

Almost surely, 2^1164087120 is an apocalyptic number.

1164087120 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 1164087120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720000).

1164087120 is an abundant number, since it is smaller than the sum of its proper divisors (3121352880).

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

1164087120 is a wasteful number, since it uses less digits than its factorization.

1164087120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 1164087120 is about 34118.7209607863. The cubic root of 1164087120 is about 1051.9501535365.

The spelling of 1164087120 in words is "one billion, one hundred sixty-four million, eighty-seven thousand, one hundred twenty".