11946144 has 96 divisors (see below), whose sum is σ = 37134720. Its totient is φ = 3290112.

The previous prime is 11946139. The next prime is 11946161. The reversal of 11946144 is 44164911.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19182 + ... + 19794.

It is an arithmetic number, because the mean of its divisors is an integer number (386820).

Almost surely, 2^11946144 is an apocalyptic number.

11946144 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 11946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567360).

11946144 is an abundant number, since it is smaller than the sum of its proper divisors (25188576).

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

11946144 is a wasteful number, since it uses less digits than its factorization.

11946144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 11946144 is about 3456.3194296824. The cubic root of 11946144 is about 228.5998363502.

It can be divided in two parts, 11946 and 144, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11946144 in words is "eleven million, nine hundred forty-six thousand, one hundred forty-four".