11246976 has 96 divisors (see below), whose sum is σ = 34900320. Its totient is φ = 3456000.

The previous prime is 11246969. The next prime is 11246981. The reversal of 11246976 is 67964211.

It is a tau number, because it is divible by the number of its divisors (96).

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 11246976.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 14601 + ... + 15351.

It is an arithmetic number, because the mean of its divisors is an integer number (363545).

Almost surely, 2^11246976 is an apocalyptic number.

11246976 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 11246976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17450160).

11246976 is an abundant number, since it is smaller than the sum of its proper divisors (23653344).

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

11246976 is a wasteful number, since it uses less digits than its factorization.

11246976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 769 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11246976 is about 3353.6511446482. The cubic root of 11246976 is about 224.0501588355.

It can be divided in two parts, 1124 and 6976, that added together give a square (8100 = 90²).

The spelling of 11246976 in words is "eleven million, two hundred forty-six thousand, nine hundred seventy-six".