853668 has 36 divisors (see below), whose sum is σ = 2253888. Its totient is φ = 271920.

The previous prime is 853667. The next prime is 853669. The reversal of 853668 is 866358.

It is an interprime number because it is at equal distance from previous prime (853667) and next prime (853669).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (853663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (62608).

2⁸⁵³⁶⁶⁸ 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 853668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126944).

853668 is an abundant number, since it is smaller than the sum of its proper divisors (1400220).

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

853668 is a wasteful number, since it uses less digits than its factorization.

853668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1059 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 853668 is about 923.9415565933. The cubic root of 853668 is about 94.8628862244.

It can be divided in two parts, 853 and 668, that added together give a square (1521 = 39²).

The spelling of 853668 in words is "eight hundred fifty-three thousand, six hundred sixty-eight".