11855952 has 60 divisors (see below), whose sum is σ = 33411924. Its totient is φ = 3924480.

The previous prime is 11855933. The next prime is 11855959. The reversal of 11855952 is 25955811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9884736 + 1971216 = 3144^2 + 1404^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11855959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40318 + ... + 40610.

Almost surely, 2^11855952 is an apocalyptic number.

11855952 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 11855952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705962).

11855952 is an abundant number, since it is smaller than the sum of its proper divisors (21555972).

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

11855952 is a wasteful number, since it uses less digits than its factorization.

11855952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The square root of 11855952 is about 3443.2473045078. The cubic root of 11855952 is about 228.0230816891.

The spelling of 11855952 in words is "eleven million, eight hundred fifty-five thousand, nine hundred fifty-two".