1164028320 has 864 divisors, whose sum is σ = 5270323968. Its totient is φ = 240371712.

The previous prime is 1164028259. The next prime is 1164028339. The reversal of 1164028320 is 238204611.

1164028320 is a `hidden beast` number, since 11 + 640 + 2 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766537 + ... + 24766583.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2^1164028320 is an apocalyptic number.

1164028320 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 1164028320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635161984).

1164028320 is an abundant number, since it is smaller than the sum of its proper divisors (4106295648).

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

1164028320 is a wasteful number, since it uses less digits than its factorization.

1164028320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 77 counting only the distinct ones).

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

The square root of 1164028320 is about 34117.8592528898. The cubic root of 1164028320 is about 1051.9324413140.

The spelling of 1164028320 in words is "one billion, one hundred sixty-four million, twenty-eight thousand, three hundred twenty".