10826496 has 108 divisors (see below), whose sum is σ = 32311552. Its totient is φ = 3483648.

The previous prime is 10826479. The next prime is 10826503. The reversal of 10826496 is 69462801.

10826496 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 649 + 6 = 666.

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10826496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85185 + ... + 85311.

Almost surely, 2^10826496 is an apocalyptic number.

10826496 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 10826496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16155776).

10826496 is an abundant number, since it is smaller than the sum of its proper divisors (21485056).

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

10826496 is a wasteful number, since it uses less digits than its factorization.

10826496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10826496 is about 3290.3641135899. The cubic root of 10826496 is about 221.2225054410. Note that the first 3 decimals are identical.

The spelling of 10826496 in words is "ten million, eight hundred twenty-six thousand, four hundred ninety-six".