853956 has 24 divisors (see below), whose sum is σ = 2214240. Its totient is φ = 284616.

The previous prime is 853949. The next prime is 853969. The reversal of 853956 is 659358.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a d-powerful number, because it can be written as 8⁵ + 5³ + 9⁴ + 3¹² + 5⁵ + 6⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 853956.

It is an unprimeable number.

853956 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (92260).

2⁸⁵³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

853956 is an abundant number, since it is smaller than the sum of its proper divisors (1360284).

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

853956 is a wasteful number, since it uses less digits than its factorization.

853956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7912 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 853956 is about 924.0973974641. The cubic root of 853956 is about 94.8735529158.

The spelling of 853956 in words is "eight hundred fifty-three thousand, nine hundred fifty-six".