1165736880 has 640 divisors, whose sum is σ = 5153955840. Its totient is φ = 235146240.

The previous prime is 1165736879. The next prime is 1165736893. The reversal of 1165736880 is 886375611.

1165736880 is a `hidden beast` number, since 1 + 16 + 573 + 68 + 8 + 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 127 ways as a sum of consecutive naturals, for example, 7151679 + ... + 7151841.

It is an arithmetic number, because the mean of its divisors is an integer number (8053056).

Almost surely, 2^1165736880 is an apocalyptic number.

1165736880 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 1165736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576977920).

1165736880 is an abundant number, since it is smaller than the sum of its proper divisors (3988218960).

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

1165736880 is a wasteful number, since it uses less digits than its factorization.

1165736880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1165736880 is about 34142.8891571876. The cubic root of 1165736880 is about 1052.4468649535.

The spelling of 1165736880 in words is "one billion, one hundred sixty-five million, seven hundred thirty-six thousand, eight hundred eighty".