11968416 has 72 divisors (see below), whose sum is σ = 35233380. Its totient is φ = 3849216.

The previous prime is 11968393. The next prime is 11968417. The reversal of 11968416 is 61486911.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11532816 + 435600 = 3396^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11968417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7636 + ... + 9068.

Almost surely, 2^11968416 is an apocalyptic number.

11968416 is a gapful number since it is divisible by the number (16) 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 11968416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17616690).

11968416 is an abundant number, since it is smaller than the sum of its proper divisors (23264964).

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

11968416 is a wasteful number, since it uses less digits than its factorization.

11968416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1467 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 11968416 is about 3459.5398537956. The cubic root of 11968416 is about 228.7418128396.

The spelling of 11968416 in words is "eleven million, nine hundred sixty-eight thousand, four hundred sixteen".