820164 has 24 divisors (see below), whose sum is σ = 1961568. Its totient is φ = 266560.

The previous prime is 820163. The next prime is 820177. The reversal of 820164 is 461028.

It is a self number, because there is not a number n which added to its sum of digits gives 820164.

It is not an unprimeable number, because it can be changed into a prime (820163) 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, 342 + ... + 1325.

It is an arithmetic number, because the mean of its divisors is an integer number (81732).

2⁸²⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

820164 is an abundant number, since it is smaller than the sum of its proper divisors (1141404).

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

820164 is a wasteful number, since it uses less digits than its factorization.

820164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 820164 is about 905.6290631379. The cubic root of 820164 is about 93.6052557499.

The spelling of 820164 in words is "eight hundred twenty thousand, one hundred sixty-four".