11865640 has 64 divisors (see below), whose sum is σ = 28285200. Its totient is φ = 4472832.

The previous prime is 11865629. The next prime is 11865649. The reversal of 11865640 is 4656811.

It can be written as a sum of positive squares in 8 ways, for example, as 4990756 + 6874884 = 2234^2 + 2622^2 .

It is not an unprimeable number, because it can be changed into a prime (11865649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61384 + ... + 61576.

Almost surely, 2^11865640 is an apocalyptic number.

11865640 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 11865640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14142600).

11865640 is an abundant number, since it is smaller than the sum of its proper divisors (16419560).

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

11865640 is a wasteful number, since it uses less digits than its factorization.

11865640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 11865640 is about 3444.6538287613. The cubic root of 11865640 is about 228.0851738820.

The spelling of 11865640 in words is "eleven million, eight hundred sixty-five thousand, six hundred forty".