11645312 has 64 divisors (see below), whose sum is σ = 27246240. Its totient is φ = 4853760.

The previous prime is 11645297. The next prime is 11645317. The reversal of 11645312 is 21354611.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11645312² = 271226583154688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11645317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36578 + ... + 36894.

Almost surely, 2^11645312 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 11645312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13623120).

11645312 is an abundant number, since it is smaller than the sum of its proper divisors (15600928).

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

11645312 is an equidigital number, since it uses as much as digits as its factorization.

11645312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its digits is 720, while the sum is 23.

The square root of 11645312 is about 3412.5228204365. The cubic root of 11645312 is about 226.6646059021.

Adding to 11645312 its reverse (21354611), we get a palindrome (32999923).

The spelling of 11645312 in words is "eleven million, six hundred forty-five thousand, three hundred twelve".