872440 has 32 divisors (see below), whose sum is σ = 2080080. Its totient is φ = 328192.

The previous prime is 872437. The next prime is 872441. The reversal of 872440 is 44278.

It is a super-2 number, since 2×872440² = 1522303107200, which contains 22 as substring.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39 + ... + 1321.

2⁸⁷²⁴⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040040).

872440 is an abundant number, since it is smaller than the sum of its proper divisors (1207640).

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

872440 is a wasteful number, since it uses less digits than its factorization.

872440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 872440 is about 934.0449667976. The cubic root of 872440 is about 95.5531898539.

The spelling of 872440 in words is "eight hundred seventy-two thousand, four hundred forty".