820900544 has 56 divisors (see below), whose sum is σ = 1720535040. Its totient is φ = 387816704.

The previous prime is 820900523. The next prime is 820900547. The reversal of 820900544 is 445009028.

820900544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 820900544.

It is not an unprimeable number, because it can be changed into a prime (820900547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118817 + ... + 125535.

It is an arithmetic number, because the mean of its divisors is an integer number (30723840).

Almost surely, 2^820900544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820900544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860267520).

820900544 is an abundant number, since it is smaller than the sum of its proper divisors (899634496).

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

820900544 is a wasteful number, since it uses less digits than its factorization.

820900544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 820900544 is about 28651.3619920589. The cubic root of 820900544 is about 936.3326793663.

The spelling of 820900544 in words is "eight hundred twenty million, nine hundred thousand, five hundred forty-four".