853820 has 24 divisors (see below), whose sum is σ = 1956528. Its totient is φ = 310400.

The previous prime is 853819. The next prime is 853823. The reversal of 853820 is 28358.

853820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 853820.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 853820.

It is not an unprimeable number, because it can be changed into a prime (853823) 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, 1721 + ... + 2160.

It is an arithmetic number, because the mean of its divisors is an integer number (81522).

2⁸⁵³⁸²⁰ is an apocalyptic number.

It is an amenable number.

853820 is an abundant number, since it is smaller than the sum of its proper divisors (1102708).

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

853820 is a wasteful number, since it uses less digits than its factorization.

853820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3901 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 853820 is about 924.0238092171. The cubic root of 853820 is about 94.8685161660.

It can be divided in two parts, 8538 and 20, that added together give a palindrome (8558).

The spelling of 853820 in words is "eight hundred fifty-three thousand, eight hundred twenty".