1165635360 has 240 divisors, whose sum is σ = 4193808696. Its totient is φ = 304791552.

The previous prime is 1165635347. The next prime is 1165635409. The reversal of 1165635360 is 635365611.

1165635360 is a `hidden beast` number, since 1 + 1 + 65 + 63 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1162264464 + 3370896 = 34092^2 + 1836^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 686032 + ... + 687728.

Almost surely, 2^1165635360 is an apocalyptic number.

1165635360 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 1165635360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096904348).

1165635360 is an abundant number, since it is smaller than the sum of its proper divisors (3028173336).

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

1165635360 is a wasteful number, since it uses less digits than its factorization.

1165635360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 1165635360 is about 34141.4024316518. The cubic root of 1165635360 is about 1052.4163127454.

The spelling of 1165635360 in words is "one billion, one hundred sixty-five million, six hundred thirty-five thousand, three hundred sixty".