10996416 has 84 divisors (see below), whose sum is σ = 33403032. Its totient is φ = 3446784.

The previous prime is 10996411. The next prime is 10996417. The reversal of 10996416 is 61469901.

10996416 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 641 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10996411) by changing a digit.

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, 9231 + ... + 10353.

Almost surely, 2^10996416 is an apocalyptic number.

10996416 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 10996416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16701516).

10996416 is an abundant number, since it is smaller than the sum of its proper divisors (22406616).

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

10996416 is a wasteful number, since it uses less digits than its factorization.

10996416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10996416 is about 3316.0844380082. The cubic root of 10996416 is about 222.3738526616.

The spelling of 10996416 in words is "ten million, nine hundred ninety-six thousand, four hundred sixteen".