11657672 has 32 divisors (see below), whose sum is σ = 23700600. Its totient is φ = 5343744.

The previous prime is 11657669. The next prime is 11657683. The reversal of 11657672 is 27675611.

It can be written as a sum of positive squares in 4 ways, for example, as 9449476 + 2208196 = 3074^2 + 1486^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20204 + ... + 20772.

Almost surely, 2^11657672 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 11657672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11850300).

11657672 is an abundant number, since it is smaller than the sum of its proper divisors (12042928).

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

11657672 is a wasteful number, since it uses less digits than its factorization.

11657672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 781 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 11657672 is about 3414.3333170621. Note that the first 4 decimals coincide. The cubic root of 11657672 is about 226.7447693173.

The spelling of 11657672 in words is "eleven million, six hundred fifty-seven thousand, six hundred seventy-two".