10813824 has 160 divisors (see below), whose sum is σ = 37026000. Its totient is φ = 3068928.

The previous prime is 10813813. The next prime is 10813861. The reversal of 10813824 is 42831801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72502 + ... + 72650.

Almost surely, 2^10813824 is an apocalyptic number.

10813824 is a gapful number since it is divisible by the number (14) 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 10813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18513000).

10813824 is an abundant number, since it is smaller than the sum of its proper divisors (26212176).

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

10813824 is an equidigital number, since it uses as much as digits as its factorization.

10813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10813824 is about 3288.4379270407. The cubic root of 10813824 is about 221.1361609139.

The spelling of 10813824 in words is "ten million, eight hundred thirteen thousand, eight hundred twenty-four".