11627712 has 70 divisors (see below), whose sum is σ = 34483548. Its totient is φ = 3874176.

The previous prime is 11627689. The next prime is 11627717. The reversal of 11627712 is 21772611.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11627717) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4063 + ... + 6305.

Almost surely, 2^11627712 is an apocalyptic number.

11627712 is a gapful number since it is divisible by the number (12) 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 11627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241774).

11627712 is an abundant number, since it is smaller than the sum of its proper divisors (22855836).

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

11627712 is an equidigital number, since it uses as much as digits as its factorization.

11627712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2267 (or 2248 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 11627712 is about 3409.9431080298. The cubic root of 11627712 is about 226.5503594002.

The spelling of 11627712 in words is "eleven million, six hundred twenty-seven thousand, seven hundred twelve".