1163715840 has 216 divisors, whose sum is σ = 4601845248. Its totient is φ = 265973760.

The previous prime is 1163715829. The next prime is 1163715893. The reversal of 1163715840 is 485173611.

1163715840 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 71 + 584 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1163715795 and 1163715804.

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, 73425 + ... + 87855.

Almost surely, 2^1163715840 is an apocalyptic number.

1163715840 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 1163715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300922624).

1163715840 is an abundant number, since it is smaller than the sum of its proper divisors (3438129408).

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

1163715840 is a wasteful number, since it uses less digits than its factorization.

1163715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14465 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1163715840 is about 34113.2795257214. The cubic root of 1163715840 is about 1051.8383034934.

It can be divided in two parts, 1163 and 715840, that added together give a triangular number (717003 = T₁₁₉₇).

The spelling of 1163715840 in words is "one billion, one hundred sixty-three million, seven hundred fifteen thousand, eight hundred forty".