867672 has 80 divisors (see below), whose sum is σ = 2642640. Its totient is φ = 264384.

The previous prime is 867653. The next prime is 867677. The reversal of 867672 is 276768.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867677) by changing a digit.

867672 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 19 ways as a sum of consecutive naturals, for example, 8373 + ... + 8475.

It is an arithmetic number, because the mean of its divisors is an integer number (33033).

2⁸⁶⁷⁶⁷² 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 867672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321320).

867672 is an abundant number, since it is smaller than the sum of its proper divisors (1774968).

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

867672 is a wasteful number, since it uses less digits than its factorization.

867672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 867672 is about 931.4891303714. The cubic root of 867672 is about 95.3788015080.

The spelling of 867672 in words is "eight hundred sixty-seven thousand, six hundred seventy-two".