10820544 has 112 divisors (see below), whose sum is σ = 33454848. Its totient is φ = 3022848.

The previous prime is 10820543. The next prime is 10820561. The reversal of 10820544 is 44502801.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111504 + ... + 111600.

It is an arithmetic number, because the mean of its divisors is an integer number (298704).

Almost surely, 2^10820544 is an apocalyptic number.

10820544 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 10820544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727424).

10820544 is an abundant number, since it is smaller than the sum of its proper divisors (22634304).

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

10820544 is an equidigital number, since it uses as much as digits as its factorization.

10820544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10820544 is about 3289.4595300748. The cubic root of 10820544 is about 221.1819580740.

The spelling of 10820544 in words is "ten million, eight hundred twenty thousand, five hundred forty-four".