11674656 has 72 divisors (see below), whose sum is σ = 37949184. Its totient is φ = 3335040.

The previous prime is 11674643. The next prime is 11674657. The reversal of 11674656 is 65647611.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11674656.

It is not an unprimeable number, because it can be changed into a prime (11674657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 4911.

It is an arithmetic number, because the mean of its divisors is an integer number (527072).

Almost surely, 2^11674656 is an apocalyptic number.

11674656 is a gapful number since it is divisible by the number (16) 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 11674656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18974592).

11674656 is an abundant number, since it is smaller than the sum of its proper divisors (26274528).

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

11674656 is a wasteful number, since it uses less digits than its factorization.

11674656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5803 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 11674656 is about 3416.8195738142. The cubic root of 11674656 is about 226.8548302994.

The spelling of 11674656 in words is "eleven million, six hundred seventy-four thousand, six hundred fifty-six".