11506976 has 48 divisors (see below), whose sum is σ = 24696000. Its totient is φ = 5246208.

The previous prime is 11506933. The next prime is 11506987. The reversal of 11506976 is 67960511.

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, 57725 + ... + 57923.

It is an arithmetic number, because the mean of its divisors is an integer number (514500).

Almost surely, 2^11506976 is an apocalyptic number.

11506976 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 11506976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348000).

11506976 is an abundant number, since it is smaller than the sum of its proper divisors (13189024).

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

11506976 is a wasteful number, since it uses less digits than its factorization.

11506976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 11506976 is about 3392.1933907134. The cubic root of 11506976 is about 225.7635033560.

The spelling of 11506976 in words is "eleven million, five hundred six thousand, nine hundred seventy-six".