853380 has 72 divisors (see below), whose sum is σ = 2830464. Its totient is φ = 206400.

The previous prime is 853357. The next prime is 853387. The reversal of 853380 is 83358.

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 853380.

It is not an unprimeable number, because it can be changed into a prime (853387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1765 + ... + 2195.

It is an arithmetic number, because the mean of its divisors is an integer number (39312).

2⁸⁵³³⁸⁰ 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 853380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415232).

853380 is an abundant number, since it is smaller than the sum of its proper divisors (1977084).

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

853380 is a wasteful number, since it uses less digits than its factorization.

853380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 853380 is about 923.7856894323. The cubic root of 853380 is about 94.8522171336.

The spelling of 853380 in words is "eight hundred fifty-three thousand, three hundred eighty".