11812608 has 72 divisors (see below), whose sum is σ = 34952400. Its totient is φ = 3935232.

The previous prime is 11812607. The next prime is 11812621. The reversal of 11812608 is 80621811.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6058 + ... + 7766.

It is an arithmetic number, because the mean of its divisors is an integer number (485450).

Almost surely, 2^11812608 is an apocalyptic number.

11812608 is a gapful number since it is divisible by the number (18) 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 11812608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17476200).

11812608 is an abundant number, since it is smaller than the sum of its proper divisors (23139792).

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

11812608 is an equidigital number, since it uses as much as digits as its factorization.

11812608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11812608 is about 3436.9474828691. The cubic root of 11812608 is about 227.7448669660.

The spelling of 11812608 in words is "eleven million, eight hundred twelve thousand, six hundred eight".