873642 has 64 divisors (see below), whose sum is σ = 2285568. Its totient is φ = 216000.

The previous prime is 873641. The next prime is 873643. The reversal of 873642 is 246378.

873642 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 (873641) and next prime (873643).

It is a d-powerful number, because it can be written as 8⁵ + 7⁷ + 6³ + 3⁶ + 4⁷ + 2 .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 873642.

It is not an unprimeable number, because it can be changed into a prime (873641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14292 + ... + 14352.

It is an arithmetic number, because the mean of its divisors is an integer number (35712).

2⁸⁷³⁶⁴² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142784).

873642 is an abundant number, since it is smaller than the sum of its proper divisors (1411926).

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

873642 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 873642 = (247863)₁₃.

873642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115.

The product of its digits is 8064, while the sum is 30.

The square root of 873642 is about 934.6881832996. The cubic root of 873642 is about 95.5970523650.

Subtracting from 873642 its reverse (246378), we obtain a square (627264 = 792²).

It can be divided in two parts, 8736 and 42, that added together give a palindrome (8778).

The spelling of 873642 in words is "eight hundred seventy-three thousand, six hundred forty-two".