11627252 has 48 divisors (see below), whose sum is σ = 26530560. Its totient is φ = 4326912.

The previous prime is 11627251. The next prime is 11627257. The reversal of 11627252 is 25272611.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11627251) 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 15 ways as a sum of consecutive naturals, for example, 5249 + ... + 7127.

It is an arithmetic number, because the mean of its divisors is an integer number (552720).

Almost surely, 2^11627252 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 11627252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265280).

11627252 is an abundant number, since it is smaller than the sum of its proper divisors (14903308).

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

11627252 is a wasteful number, since it uses less digits than its factorization.

11627252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1918 counting only the distinct ones).

The product of its digits is 1680, while the sum is 26.

The square root of 11627252 is about 3409.8756575570. The cubic root of 11627252 is about 226.5473718666.

Adding to 11627252 its reverse (25272611), we get a palindrome (36899863).

The spelling of 11627252 in words is "eleven million, six hundred twenty-seven thousand, two hundred fifty-two".