11863120 has 40 divisors (see below), whose sum is σ = 27737064. Its totient is φ = 4718592.

The previous prime is 11863109. The next prime is 11863121. The reversal of 11863120 is 2136811.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 3429904 = 2904^2 + 1852^2 .

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

It is a super-2 number, since 2×11863120² = 281467232268800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11863091 and 11863100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11863121) 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, 20272 + ... + 20848.

Almost surely, 2^11863120 is an apocalyptic number.

11863120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11863120 is an abundant number, since it is smaller than the sum of its proper divisors (15873944).

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

11863120 is a wasteful number, since it uses less digits than its factorization.

11863120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11863120 is about 3444.2880251222. The cubic root of 11863120 is about 228.0690259868.

Adding to 11863120 its reverse (2136811), we get a palindrome (13999931).

The spelling of 11863120 in words is "eleven million, eight hundred sixty-three thousand, one hundred twenty".