1165040640 has 264 divisors, whose sum is σ = 4088726928. Its totient is φ = 306708480.

The previous prime is 1165040629. The next prime is 1165040663. The reversal of 1165040640 is 460405611.

1165040640 is a `hidden beast` number, since 1 + 1 + 650 + 4 + 0 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×1165040640³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6036384 + ... + 6036576.

It is an arithmetic number, because the mean of its divisors is an integer number (15487602).

Almost surely, 2^1165040640 is an apocalyptic number.

1165040640 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 1165040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2044363464).

1165040640 is an abundant number, since it is smaller than the sum of its proper divisors (2923686288).

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

1165040640 is a wasteful number, since it uses less digits than its factorization.

1165040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1165040640 is about 34132.6916606353. The cubic root of 1165040640 is about 1052.2372974984.

The spelling of 1165040640 in words is "one billion, one hundred sixty-five million, forty thousand, six hundred forty".