10826976 has 48 divisors (see below), whose sum is σ = 29408400. Its totient is φ = 3483648.

The previous prime is 10826971. The next prime is 10826987. The reversal of 10826976 is 67962801.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 4728.

It is an arithmetic number, because the mean of its divisors is an integer number (612675).

Almost surely, 2^10826976 is an apocalyptic number.

10826976 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 10826976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14704200).

10826976 is an abundant number, since it is smaller than the sum of its proper divisors (18581424).

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

10826976 is a wasteful number, since it uses less digits than its factorization.

10826976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 10826976 is about 3290.4370530372. The cubic root of 10826976 is about 221.2257747424.

It can be divided in two parts, 108269 and 76, that added together give a triangular number (108345 = T₄₆₅).

The spelling of 10826976 in words is "ten million, eight hundred twenty-six thousand, nine hundred seventy-six".