840164 has 24 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 381600.

The previous prime is 840163. The next prime is 840179. The reversal of 840164 is 461048.

It is a happy number.

840164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 840164.

It is not an unprimeable number, because it can be changed into a prime (840163) 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, 5489 + ... + 5639.

It is an arithmetic number, because the mean of its divisors is an integer number (67032).

2⁸⁴⁰¹⁶⁴ is an apocalyptic number.

It is an amenable number.

840164 is a deficient number, since it is larger than the sum of its proper divisors (768604).

840164 is a wasteful number, since it uses less digits than its factorization.

840164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 840164 is about 916.6046039596. The cubic root of 840164 is about 94.3600196973.

The spelling of 840164 in words is "eight hundred forty thousand, one hundred sixty-four".