867456 has 64 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 288000.

The previous prime is 867443. The next prime is 867457. The reversal of 867456 is 654768.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 867456.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867456.

It is not an unprimeable number, because it can be changed into a prime (867457) by changing a digit.

867456 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, 3331 + ... + 3581.

2⁸⁶⁷⁴⁵⁶ 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 867456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

867456 is an abundant number, since it is smaller than the sum of its proper divisors (1702944).

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

867456 is a wasteful number, since it uses less digits than its factorization.

867456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 867456 is about 931.3731797727. The cubic root of 867456 is about 95.3708862547.

The spelling of 867456 in words is "eight hundred sixty-seven thousand, four hundred fifty-six".