11805948 has 72 divisors (see below), whose sum is σ = 37215360. Its totient is φ = 3065760.

The previous prime is 11805943. The next prime is 11805949. The reversal of 11805948 is 84950811.

11805948 = 32² + 33² + ... + 328².

11805948 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (11805943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643 + ... + 4901.

It is an arithmetic number, because the mean of its divisors is an integer number (516880).

Almost surely, 2^11805948 is an apocalyptic number.

11805948 is a gapful number since it is divisible by the number (18) 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 11805948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607680).

11805948 is an abundant number, since it is smaller than the sum of its proper divisors (25409412).

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

11805948 is a wasteful number, since it uses less digits than its factorization.

11805948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4287 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 11805948 is about 3435.9784632620. The cubic root of 11805948 is about 227.7020577360.

The spelling of 11805948 in words is "eleven million, eight hundred five thousand, nine hundred forty-eight".