1165104640 has 160 divisors (see below), whose sum is σ = 3236935680. Its totient is φ = 393928704.

The previous prime is 1165104631. The next prime is 1165104679. The reversal of 1165104640 is 464015611.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1165104599 and 1165104608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1415269 + ... + 1416091.

It is an arithmetic number, because the mean of its divisors is an integer number (20230848).

Almost surely, 2^1165104640 is an apocalyptic number.

1165104640 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 1165104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618467840).

1165104640 is an abundant number, since it is smaller than the sum of its proper divisors (2071831040).

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

1165104640 is an frugal number, since it uses more digits than its factorization.

1165104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1165104640 is about 34133.6291653847. The cubic root of 1165104640 is about 1052.2565649104.

The spelling of 1165104640 in words is "one billion, one hundred sixty-five million, one hundred four thousand, six hundred forty".