11606976 has 70 divisors (see below), whose sum is σ = 34422080. Its totient is φ = 3867264.

The previous prime is 11606963. The next prime is 11606983. The reversal of 11606976 is 67960611.

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 11606976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4065 + ... + 6303.

It is an arithmetic number, because the mean of its divisors is an integer number (491744).

Almost surely, 2^11606976 is an apocalyptic number.

11606976 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 11606976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17211040).

11606976 is an abundant number, since it is smaller than the sum of its proper divisors (22815104).

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

11606976 is an equidigital number, since it uses as much as digits as its factorization.

11606976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2263 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 11606976 is about 3406.9012313244. The cubic root of 11606976 is about 226.4156082252.

The spelling of 11606976 in words is "eleven million, six hundred six thousand, nine hundred seventy-six".