872648 has 16 divisors (see below), whose sum is σ = 1870080. Its totient is φ = 373968.

The previous prime is 872647. The next prime is 872657. The reversal of 872648 is 846278.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 872648.

It is not an unprimeable number, because it can be changed into a prime (872647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7736 + ... + 7847.

It is an arithmetic number, because the mean of its divisors is an integer number (116880).

2⁸⁷²⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

872648 is an abundant number, since it is smaller than the sum of its proper divisors (997432).

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

872648 is a wasteful number, since it uses less digits than its factorization.

872648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15596 (or 15592 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 872648 is about 934.1563038379. The cubic root of 872648 is about 95.5607829202.

The spelling of 872648 in words is "eight hundred seventy-two thousand, six hundred forty-eight".