867504 has 80 divisors (see below), whose sum is σ = 2571264. Its totient is φ = 249600.

The previous prime is 867487. The next prime is 867509. The reversal of 867504 is 405768.

It is a happy number.

867504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (867509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16342 + ... + 16394.

2⁸⁶⁷⁵⁰⁴ 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 867504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285632).

867504 is an abundant number, since it is smaller than the sum of its proper divisors (1703760).

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

867504 is a wasteful number, since it uses less digits than its factorization.

867504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 867504 is about 931.3989478199. The cubic root of 867504 is about 95.3726453135.

The spelling of 867504 in words is "eight hundred sixty-seven thousand, five hundred four".