853620 has 48 divisors (see below), whose sum is σ = 2455488. Its totient is φ = 221440.

The previous prime is 853597. The next prime is 853637. The reversal of 853620 is 26358.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2287 + ... + 2633.

It is an arithmetic number, because the mean of its divisors is an integer number (51156).

2⁸⁵³⁶²⁰ 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 853620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227744).

853620 is an abundant number, since it is smaller than the sum of its proper divisors (1601868).

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

853620 is a wasteful number, since it uses less digits than its factorization.

853620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 853620 is about 923.9155805592. The cubic root of 853620 is about 94.8611082092.

Adding to 853620 its reverse (26358), we get a palindrome (879978).

It can be divided in two parts, 8 and 53620, that added together give a triangular number (53628 = T₃₂₇).

The spelling of 853620 in words is "eight hundred fifty-three thousand, six hundred twenty".