10824268 has 48 divisors (see below), whose sum is σ = 23595264. Its totient is φ = 4230720.

The previous prime is 10824251. The next prime is 10824277. The reversal of 10824268 is 86242801.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47571 + ... + 47797.

It is an arithmetic number, because the mean of its divisors is an integer number (491568).

Almost surely, 2^10824268 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10824268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797632).

10824268 is an abundant number, since it is smaller than the sum of its proper divisors (12770996).

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

10824268 is a wasteful number, since it uses less digits than its factorization.

10824268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 10824268 is about 3290.0255318158. The cubic root of 10824268 is about 221.2073291687.

The spelling of 10824268 in words is "ten million, eight hundred twenty-four thousand, two hundred sixty-eight".