1164280320 has 240 divisors, whose sum is σ = 4608901440. Its totient is φ = 266084352.

The previous prime is 1164280297. The next prime is 1164280363. The reversal of 1164280320 is 230824611.

1164280320 is a `hidden beast` number, since 1 + 1 + 64 + 280 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×1164280320³ (a number of 28 digits) contains 333 as substring.

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, 157671 + ... + 164889.

It is an arithmetic number, because the mean of its divisors is an integer number (19203756).

Almost surely, 2^1164280320 is an apocalyptic number.

1164280320 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 1164280320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304450720).

1164280320 is an abundant number, since it is smaller than the sum of its proper divisors (3444621120).

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

1164280320 is an equidigital number, since it uses as much as digits as its factorization.

1164280320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7236 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1164280320 is about 34121.5521335123. The cubic root of 1164280320 is about 1052.0083466402.

The spelling of 1164280320 in words is "one billion, one hundred sixty-four million, two hundred eighty thousand, three hundred twenty".