10823120 has 120 divisors (see below), whose sum is σ = 32060448. Its totient is φ = 3360000.

The previous prime is 10823039. The next prime is 10823149. The reversal of 10823120 is 2132801.

10823120 = T₂₅₉ + T₂₆₀ + ... + T₄₃₄.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42995 + ... + 43245.

Almost surely, 2^10823120 is an apocalyptic number.

10823120 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 10823120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16030224).

10823120 is an abundant number, since it is smaller than the sum of its proper divisors (21237328).

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

10823120 is a wasteful number, since it uses less digits than its factorization.

10823120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10823120 is about 3289.8510604585. The cubic root of 10823120 is about 221.1995086247.

Adding to 10823120 its reverse (2132801), we get a palindrome (12955921).

The spelling of 10823120 in words is "ten million, eight hundred twenty-three thousand, one hundred twenty".