10823340 has 144 divisors (see below), whose sum is σ = 35675136. Its totient is φ = 2428800.

The previous prime is 10823327. The next prime is 10823347. The reversal of 10823340 is 4332801.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10823347) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 349125 + ... + 349155.

It is an arithmetic number, because the mean of its divisors is an integer number (247744).

Almost surely, 2^10823340 is an apocalyptic number.

10823340 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 10823340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837568).

10823340 is an abundant number, since it is smaller than the sum of its proper divisors (24851796).

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

10823340 is a wasteful number, since it uses less digits than its factorization.

10823340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10823340 is about 3289.8844964527. The cubic root of 10823340 is about 221.2010073780.

The spelling of 10823340 in words is "ten million, eight hundred twenty-three thousand, three hundred forty".