1166607360 has 440 divisors, whose sum is σ = 4369198680. Its totient is φ = 297271296.

The previous prime is 1166607359. The next prime is 1166607479. The reversal of 1166607360 is 637066611.

It can be written as a sum of positive squares in 4 ways, for example, as 107495424 + 1059111936 = 10368^2 + 32544^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026832 + ... + 12026928.

It is an arithmetic number, because the mean of its divisors is an integer number (9929997).

Almost surely, 2^1166607360 is an apocalyptic number.

1166607360 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 1166607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184599340).

1166607360 is an abundant number, since it is smaller than the sum of its proper divisors (3202591320).

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

1166607360 is an equidigital number, since it uses as much as digits as its factorization.

1166607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1166607360 is about 34155.6343814604. The cubic root of 1166607360 is about 1052.7087611055.

The spelling of 1166607360 in words is "one billion, one hundred sixty-six million, six hundred seven thousand, three hundred sixty".