1166689664 has 64 divisors (see below), whose sum is σ = 2661465600. Its totient is φ = 499038720.

The previous prime is 1166689649. The next prime is 1166689669. The reversal of 1166689664 is 4669866611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1166689664² = 2722329544168865792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166689669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 643319 + ... + 645129.

It is an arithmetic number, because the mean of its divisors is an integer number (41585400).

Almost surely, 2^1166689664 is an apocalyptic number.

1166689664 is a gapful number since it is divisible by the number (14) 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 1166689664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330732800).

1166689664 is an abundant number, since it is smaller than the sum of its proper divisors (1494775936).

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

1166689664 is an equidigital number, since it uses as much as digits as its factorization.

1166689664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2539 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 1166689664 is about 34156.8391980288. The cubic root of 1166689664 is about 1052.7335166795.

The spelling of 1166689664 in words is "one billion, one hundred sixty-six million, six hundred eighty-nine thousand, six hundred sixty-four".