1166152320 has 192 divisors, whose sum is σ = 4051593000. Its totient is φ = 309067776.

The previous prime is 1166152307. The next prime is 1166152331. The reversal of 1166152320 is 232516611.

1166152320 is a `hidden beast` number, since 1 + 1 + 6 + 615 + 23 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1020419136 + 145733184 = 31944^2 + 12072^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1166152320² = 2719822466882764800, which contains 22 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, 1111156 + ... + 1112204.

Almost surely, 2^1166152320 is an apocalyptic number.

1166152320 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 1166152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025796500).

1166152320 is an abundant number, since it is smaller than the sum of its proper divisors (2885440680).

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

1166152320 is a wasteful number, since it uses less digits than its factorization.

1166152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1166152320 is about 34148.9724589189. The cubic root of 1166152320 is about 1052.5718721783.

Adding to 1166152320 its reverse (232516611), we get a palindrome (1398668931).

The spelling of 1166152320 in words is "one billion, one hundred sixty-six million, one hundred fifty-two thousand, three hundred twenty".