11944080 has 120 divisors (see below), whose sum is σ = 40999608. Its totient is φ = 3115008.

The previous prime is 11944069. The next prime is 11944091. The reversal of 11944080 is 8044911.

It is an interprime number because it is at equal distance from previous prime (11944069) and next prime (11944091).

It can be written as a sum of positive squares in 4 ways, for example, as 82944 + 11861136 = 288^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×11944080² = 285322094092800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38004 + ... + 38316.

It is the magic constant of a 288 × 288 magic square.

Almost surely, 2^11944080 is an apocalyptic number.

11944080 is a gapful number since it is divisible by the number (10) 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 11944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20499804).

11944080 is an abundant number, since it is smaller than the sum of its proper divisors (29055528).

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

11944080 is a wasteful number, since it uses less digits than its factorization.

11944080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11944080 is about 3456.0208332705. The cubic root of 11944080 is about 228.5866701146.

Adding to 11944080 its reverse (8044911), we get a palindrome (19988991).

The spelling of 11944080 in words is "eleven million, nine hundred forty-four thousand, eighty".