872670 has 32 divisors (see below), whose sum is σ = 2206080. Its totient is φ = 220320.

The previous prime is 872659. The next prime is 872671. The reversal of 872670 is 76278.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872671) by changing a digit.

872670 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 15 ways as a sum of consecutive naturals, for example, 196 + ... + 1335.

It is an arithmetic number, because the mean of its divisors is an integer number (68940).

2⁸⁷²⁶⁷⁰ is an apocalyptic number.

872670 is an abundant number, since it is smaller than the sum of its proper divisors (1333410).

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

872670 is a wasteful number, since it uses less digits than its factorization.

872670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560.

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 872670 is about 934.1680790950. The cubic root of 872670 is about 95.5615859624.

The spelling of 872670 in words is "eight hundred seventy-two thousand, six hundred seventy".