873684 has 36 divisors (see below), whose sum is σ = 2524704. Its totient is φ = 249552.

The previous prime is 873671. The next prime is 873689. The reversal of 873684 is 486378.

873684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873684.

It is not an unprimeable number, because it can be changed into a prime (873689) by changing a digit.

873684 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 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 1985.

2⁸⁷³⁶⁸⁴ is an apocalyptic number.

873684 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

873684 is an abundant number, since it is smaller than the sum of its proper divisors (1651020).

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

873684 is a wasteful number, since it uses less digits than its factorization.

873684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3484 (or 3479 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 873684 is about 934.7106504154. The cubic root of 873684 is about 95.5985842709.

The spelling of 873684 in words is "eight hundred seventy-three thousand, six hundred eighty-four".