872910 has 64 divisors (see below), whose sum is σ = 2410560. Its totient is φ = 224640.

The previous prime is 872863. The next prime is 872923. The reversal of 872910 is 19278.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 872910.

It is an unprimeable number.

872910 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 31 ways as a sum of consecutive naturals, for example, 14280 + ... + 14340.

It is an arithmetic number, because the mean of its divisors is an integer number (37665).

2⁸⁷²⁹¹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205280).

872910 is an abundant number, since it is smaller than the sum of its proper divisors (1537650).

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

872910 is a wasteful number, since it uses less digits than its factorization.

872910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 872910 is about 934.2965268051. The cubic root of 872910 is about 95.5703455464.

The spelling of 872910 in words is "eight hundred seventy-two thousand, nine hundred ten".