11855844 has 216 divisors, whose sum is σ = 41827968. Its totient is φ = 2782080.

The previous prime is 11855839. The next prime is 11855869. The reversal of 11855844 is 44855811.

It is a super-2 number, since 2×11855844² = 281122073904672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11855799 and 11855808.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 252229 + ... + 252275.

It is an arithmetic number, because the mean of its divisors is an integer number (193648).

Almost surely, 2^11855844 is an apocalyptic number.

11855844 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 11855844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

11855844 is an abundant number, since it is smaller than the sum of its proper divisors (29972124).

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

11855844 is a wasteful number, since it uses less digits than its factorization.

11855844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 83 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 11855844 is about 3443.2316216020. The cubic root of 11855844 is about 228.0223893064.

The spelling of 11855844 in words is "eleven million, eight hundred fifty-five thousand, eight hundred forty-four".