1165680880 has 240 divisors, whose sum is σ = 3414692160. Its totient is φ = 362299392.

The previous prime is 1165680829. The next prime is 1165680953. The reversal of 1165680880 is 880865611.

It is a happy number.

It is a super-3 number, since 3×1165680880³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10315704 + ... + 10315816.

It is an arithmetic number, because the mean of its divisors is an integer number (14227884).

Almost surely, 2^1165680880 is an apocalyptic number.

1165680880 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 1165680880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707346080).

1165680880 is an abundant number, since it is smaller than the sum of its proper divisors (2249011280).

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

1165680880 is a wasteful number, since it uses less digits than its factorization.

1165680880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 1165680880 is about 34142.0690644255. The cubic root of 1165680880 is about 1052.4300121030.

The spelling of 1165680880 in words is "one billion, one hundred sixty-five million, six hundred eighty thousand, eight hundred eighty".