11859672 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3559040.

The previous prime is 11859643. The next prime is 11859707. The reversal of 11859672 is 27695811.

It is a self number, because there is not a number n which added to its sum of digits gives 11859672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43954 + ... + 44222.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 2^11859672 is an apocalyptic number.

11859672 is a gapful number since it is divisible by the number (12) 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 11859672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11859672 is an abundant number, since it is smaller than the sum of its proper divisors (20799528).

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

11859672 is a wasteful number, since it uses less digits than its factorization.

11859672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 452 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 11859672 is about 3443.7874498871. The cubic root of 11859672 is about 228.0469278597.

The spelling of 11859672 in words is "eleven million, eight hundred fifty-nine thousand, six hundred seventy-two".