1163405840 has 40 divisors (see below), whose sum is σ = 2706796248. Its totient is φ = 465039360.

The previous prime is 1163405839. The next prime is 1163405843. The reversal of 1163405840 is 485043611.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 1162537216 = 932^2 + 34096^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1163405840² = 2707026297092211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1163405797 and 1163405806.

It is not an unprimeable number, because it can be changed into a prime (1163405843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 135104 + ... + 143456.

Almost surely, 2^1163405840 is an apocalyptic number.

1163405840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163405840 is an abundant number, since it is smaller than the sum of its proper divisors (1543390408).

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

1163405840 is a wasteful number, since it uses less digits than its factorization.

1163405840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10107 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1163405840 is about 34108.7355379821. The cubic root of 1163405840 is about 1051.7448961452.

The spelling of 1163405840 in words is "one billion, one hundred sixty-three million, four hundred five thousand, eight hundred forty".