870672 has 80 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 245760.

The previous prime is 870643. The next prime is 870679. The reversal of 870672 is 276078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870679) by changing a digit.

870672 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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8928 + ... + 9024.

2⁸⁷⁰⁶⁷² 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 870672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

870672 is an abundant number, since it is smaller than the sum of its proper divisors (1754160).

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

870672 is a wasteful number, since it uses less digits than its factorization.

870672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

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

The square root of 870672 is about 933.0980655858. The cubic root of 870672 is about 95.4886000116.

It can be divided in two parts, 8706 and 72, that added together give a palindrome (8778).

The spelling of 870672 in words is "eight hundred seventy thousand, six hundred seventy-two".