11962656 has 72 divisors (see below), whose sum is σ = 34545420. Its totient is φ = 3926016.

The previous prime is 11962651. The next prime is 11962661. The reversal of 11962656 is 65626911.

It is an interprime number because it is at equal distance from previous prime (11962651) and next prime (11962661).

It can be written as a sum of positive squares in 2 ways, for example, as 11696400 + 266256 = 3420^2 + 516^2 .

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 11962656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11962651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20740 + ... + 21308.

Almost surely, 2^11962656 is an apocalyptic number.

11962656 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 11962656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17272710).

11962656 is an abundant number, since it is smaller than the sum of its proper divisors (22582764).

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

11962656 is a wasteful number, since it uses less digits than its factorization.

11962656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 647 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11962656 is about 3458.7072729562. The cubic root of 11962656 is about 228.7051116793.

The spelling of 11962656 in words is "eleven million, nine hundred sixty-two thousand, six hundred fifty-six".