11946272 has 54 divisors (see below), whose sum is σ = 26020953. Its totient is φ = 5396352.

The previous prime is 11946251. The next prime is 11946299. The reversal of 11946272 is 27264911.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 10214416 + 1731856 = 3196^2 + 1316^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 254153 + ... + 254199.

Almost surely, 2^11946272 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 11946272

11946272 is an abundant number, since it is smaller than the sum of its proper divisors (14074681).

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

11946272 is an equidigital number, since it uses as much as digits as its factorization.

11946272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 62 counting only the distinct ones).

The product of its digits is 6048, while the sum is 32.

The square root of 11946272 is about 3456.3379464398. The cubic root of 11946272 is about 228.6006528110.

Multiplying 11946272 by its sum of digits (32), we get a square (382280704 = 19552²).

11946272 divided by its sum of digits (32) gives a square (373321 = 611²).

The spelling of 11946272 in words is "eleven million, nine hundred forty-six thousand, two hundred seventy-two".