872046 has 40 divisors (see below), whose sum is σ = 2236080. Its totient is φ = 248832.

The previous prime is 872041. The next prime is 872057. The reversal of 872046 is 640278.

It is a super-2 number, since 2×872046² = 1520928452232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872041) by changing a digit.

872046 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 750 + ... + 1518.

It is an arithmetic number, because the mean of its divisors is an integer number (55902).

2⁸⁷²⁰⁴⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118040).

872046 is an abundant number, since it is smaller than the sum of its proper divisors (1364034).

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

872046 is a wasteful number, since it uses less digits than its factorization.

872046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 872046 is about 933.8340323634. The cubic root of 872046 is about 95.5388035253.

The spelling of 872046 in words is "eight hundred seventy-two thousand, forty-six".