867664 has 40 divisors (see below), whose sum is σ = 1968128. Its totient is φ = 362880.

The previous prime is 867653. The next prime is 867677. The reversal of 867664 is 466768.

867664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

867664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6769 + ... + 6895.

2⁸⁶⁷⁶⁶⁴ 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 867664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984064).

867664 is an abundant number, since it is smaller than the sum of its proper divisors (1100464).

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

867664 is a wasteful number, since it uses less digits than its factorization.

867664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 48384, while the sum is 37.

The square root of 867664 is about 931.4848361621. The cubic root of 867664 is about 95.3785083739.

It can be divided in two parts, 86 and 7664, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 867664 in words is "eight hundred sixty-seven thousand, six hundred sixty-four".