10916496 has 90 divisors (see below), whose sum is σ = 32040918. Its totient is φ = 3467520.

The previous prime is 10916491. The next prime is 10916497. The reversal of 10916496 is 69461901.

10916496 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 649 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6656400 + 4260096 = 2580^2 + 2064^2 .

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 10916496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 253851 + ... + 253893.

Almost surely, 2^10916496 is an apocalyptic number.

10916496 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 10916496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020459).

10916496 is an abundant number, since it is smaller than the sum of its proper divisors (21124422).

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

10916496 is a wasteful number, since it uses less digits than its factorization.

10916496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

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

The square root of 10916496 is about 3304.0121065153. The cubic root of 10916496 is about 221.8338176823.

The spelling of 10916496 in words is "ten million, nine hundred sixteen thousand, four hundred ninety-six".