867888 has 120 divisors (see below), whose sum is σ = 2968560. Its totient is φ = 241920.

The previous prime is 867887. The next prime is 867913. The reversal of 867888 is 888768.

867888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (867887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21148 + ... + 21188.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁸⁶⁷⁸⁸⁸ 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 867888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484280).

867888 is an abundant number, since it is smaller than the sum of its proper divisors (2100672).

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

867888 is a wasteful number, since it uses less digits than its factorization.

867888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 867888 is about 931.6050665384. The cubic root of 867888 is about 95.3867154478.

It can be divided in two parts, 8 and 67888, that added together give a triangular number (67896 = T₃₆₈).

The spelling of 867888 in words is "eight hundred sixty-seven thousand, eight hundred eighty-eight".