1165905760 has 48 divisors (see below), whose sum is σ = 2769908400. Its totient is φ = 463745536.

The previous prime is 1165905737. The next prime is 1165905787. The reversal of 1165905760 is 675095611.

1165905760 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8286 + ... + 48994.

It is an arithmetic number, because the mean of its divisors is an integer number (57706425).

Almost surely, 2^1165905760 is an apocalyptic number.

1165905760 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 1165905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384954200).

1165905760 is an abundant number, since it is smaller than the sum of its proper divisors (1604002640).

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

1165905760 is a wasteful number, since it uses less digits than its factorization.

1165905760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40903 (or 40895 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The square root of 1165905760 is about 34145.3622033798. The cubic root of 1165905760 is about 1052.4976850678.

The spelling of 1165905760 in words is "one billion, one hundred sixty-five million, nine hundred five thousand, seven hundred sixty".