11945216 has 36 divisors (see below), whose sum is σ = 24681300. Its totient is φ = 5763072.

The previous prime is 11945179. The next prime is 11945221. The reversal of 11945216 is 61254911.

It can be written as a sum of positive squares in 2 ways, for example, as 9634816 + 2310400 = 3104^2 + 1520^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6620 + ... + 8228.

Almost surely, 2^11945216 is an apocalyptic number.

11945216 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 11945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12340650).

11945216 is an abundant number, since it is smaller than the sum of its proper divisors (12736084).

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

11945216 is an equidigital number, since it uses as much as digits as its factorization.

11945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654 (or 1640 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

The square root of 11945216 is about 3456.1851802240. The cubic root of 11945216 is about 228.5939168350.

The spelling of 11945216 in words is "eleven million, nine hundred forty-five thousand, two hundred sixteen".