1165667760 has 200 divisors, whose sum is σ = 4188816720. Its totient is φ = 300077568.

The previous prime is 1165667753. The next prime is 1165667813. The reversal of 1165667760 is 677665611.

1165667760 is a `hidden beast` number, since 1 + 16 + 566 + 7 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184819 + ... + 191021.

Almost surely, 2^1165667760 is an apocalyptic number.

1165667760 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 1165667760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094408360).

1165667760 is an abundant number, since it is smaller than the sum of its proper divisors (3023148960).

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

1165667760 is a wasteful number, since it uses less digits than its factorization.

1165667760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6242 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1165667760 is about 34141.8769255587. The cubic root of 1165667760 is about 1052.4260636428.

The spelling of 1165667760 in words is "one billion, one hundred sixty-five million, six hundred sixty-seven thousand, seven hundred sixty".