10823868 has 60 divisors (see below), whose sum is σ = 30878232. Its totient is φ = 3278880.

The previous prime is 10823851. The next prime is 10823881. The reversal of 10823868 is 86832801.

It is a super-2 number, since 2×10823868² = 234312236962848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2046 + ... + 5082.

Almost surely, 2^10823868 is an apocalyptic number.

10823868 is a gapful number since it is divisible by the number (18) 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 10823868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15439116).

10823868 is an abundant number, since it is smaller than the sum of its proper divisors (20054364).

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

10823868 is a wasteful number, since it uses less digits than its factorization.

10823868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064 (or 3053 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 10823868 is about 3289.9647414524. The cubic root of 10823868 is about 221.2046043032.

It can be divided in two parts, 1082 and 3868, that added together give a triangular number (4950 = T₉₉).

The spelling of 10823868 in words is "ten million, eight hundred twenty-three thousand, eight hundred sixty-eight".