10826520 has 64 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2849664.

The previous prime is 10826509. The next prime is 10826521. The reversal of 10826520 is 2562801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10826521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9417 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 2^10826520 is an apocalyptic number.

10826520 is a gapful number since it is divisible by the number (10) 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 10826520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10826520 is an abundant number, since it is smaller than the sum of its proper divisors (22074600).

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

10826520 is a wasteful number, since it uses less digits than its factorization.

10826520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10826520 is about 3290.3677606006. The cubic root of 10826520 is about 221.2226689084. Note that the first 3 decimals are identical.

The spelling of 10826520 in words is "ten million, eight hundred twenty-six thousand, five hundred twenty".