11875864 has 64 divisors (see below), whose sum is σ = 29917440. Its totient is φ = 4268160.

The previous prime is 11875861. The next prime is 11875873. The reversal of 11875864 is 46857811.

It is a super-2 number, since 2×11875864² = 282072291492992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11875861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7267 + ... + 8749.

It is an arithmetic number, because the mean of its divisors is an integer number (467460).

Almost surely, 2^11875864 is an apocalyptic number.

11875864 is a gapful number since it is divisible by the number (14) 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 11875864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958720).

11875864 is an abundant number, since it is smaller than the sum of its proper divisors (18041576).

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

11875864 is a wasteful number, since it uses less digits than its factorization.

11875864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its digits is 53760, while the sum is 40.

The square root of 11875864 is about 3446.1375480384. The cubic root of 11875864 is about 228.1506647550.

The spelling of 11875864 in words is "eleven million, eight hundred seventy-five thousand, eight hundred sixty-four".