1165607880 has 128 divisors (see below), whose sum is σ = 3593462400. Its totient is φ = 302303232.

The previous prime is 1165607857. The next prime is 1165607887. The reversal of 1165607880 is 887065611.

It is a Cunningham number, because it is equal to 34141²-1.

It is not an unprimeable number, because it can be changed into a prime (1165607887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048236 + ... + 2048804.

It is an arithmetic number, because the mean of its divisors is an integer number (28073925).

Almost surely, 2^1165607880 is an apocalyptic number.

1165607880 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 1165607880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796731200).

1165607880 is an abundant number, since it is smaller than the sum of its proper divisors (2427854520).

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

1165607880 is a wasteful number, since it uses less digits than its factorization.

1165607880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1165607880 is about 34140.9999853549. Note that the first 4 decimals coincide. The cubic root of 1165607880 is about 1052.4080423981.

The spelling of 1165607880 in words is "one billion, one hundred sixty-five million, six hundred seven thousand, eight hundred eighty".