808164 has 48 divisors (see below), whose sum is σ = 2396800. Its totient is φ = 230688.

The previous prime is 808153. The next prime is 808169. The reversal of 808164 is 461808.

808164 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (808169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222 + ... + 1290.

2⁸⁰⁸¹⁶⁴ is an apocalyptic number.

808164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 808164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198400).

808164 is an abundant number, since it is smaller than the sum of its proper divisors (1588636).

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

808164 is a wasteful number, since it uses less digits than its factorization.

808164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 808164 is about 898.9794213440. The cubic root of 808164 is about 93.1464912938.

The spelling of 808164 in words is "eight hundred eight thousand, one hundred sixty-four".