873936 has 120 divisors (see below), whose sum is σ = 3045440. Its totient is φ = 235008.

The previous prime is 873913. The next prime is 873959. The reversal of 873936 is 639378.

873936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (873913) and next prime (873959).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 873936.

It is a congruent number.

It is an unprimeable number.

873936 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 23 ways as a sum of consecutive naturals, for example, 51400 + ... + 51416.

2⁸⁷³⁹³⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522720).

873936 is an abundant number, since it is smaller than the sum of its proper divisors (2171504).

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

873936 is a wasteful number, since it uses less digits than its factorization.

873936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 873936 is about 934.8454417710. The cubic root of 873936 is about 95.6077746751.

Multiplying 873936 by its product of digits (27216), we get a square (23785042176 = 154224²).

The spelling of 873936 in words is "eight hundred seventy-three thousand, nine hundred thirty-six".