11958144 has 128 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 3409920.

The previous prime is 11958119. The next prime is 11958181. The reversal of 11958144 is 44185911.

11958144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 80182 + ... + 80330.

It is an arithmetic number, because the mean of its divisors is an integer number (286875).

Almost surely, 2^11958144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

11958144 is an abundant number, since it is smaller than the sum of its proper divisors (24761856).

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

11958144 is a wasteful number, since it uses less digits than its factorization.

11958144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 5760, while the sum is 33.

The square root of 11958144 is about 3458.0549446184. The cubic root of 11958144 is about 228.6763542075.

It can be divided in two parts, 1195 and 8144, that added together give a palindrome (9339).

The spelling of 11958144 in words is "eleven million, nine hundred fifty-eight thousand, one hundred forty-four".