1166760864 has 144 divisors (see below), whose sum is σ = 3536664768. Its totient is φ = 363595776.

The previous prime is 1166760863. The next prime is 1166760871. The reversal of 1166760864 is 4680676611.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1166760864² = 2722661827524052992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166760863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 816919 + ... + 818345.

It is an arithmetic number, because the mean of its divisors is an integer number (24560172).

Almost surely, 2^1166760864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768332384).

1166760864 is an abundant number, since it is smaller than the sum of its proper divisors (2369903904).

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

1166760864 is a wasteful number, since it uses less digits than its factorization.

1166760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1166760864 is about 34157.8814331334. The cubic root of 1166760864 is about 1052.7549314293.

The spelling of 1166760864 in words is "one billion, one hundred sixty-six million, seven hundred sixty thousand, eight hundred sixty-four".