873630 has 48 divisors (see below), whose sum is σ = 2409264. Its totient is φ = 218880.

The previous prime is 873619. The next prime is 873641. The reversal of 873630 is 36378.

873630 = 416² + 417² + ... + 420².

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (873619) and next prime (873641).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 873594 and 873603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1245 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (50193).

2⁸⁷³⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204632).

873630 is an abundant number, since it is smaller than the sum of its proper divisors (1535634).

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

873630 is a wasteful number, since it uses less digits than its factorization.

873630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 873630 is about 934.6817640245. The cubic root of 873630 is about 95.5966146686.

The spelling of 873630 in words is "eight hundred seventy-three thousand, six hundred thirty".