867600 has 90 divisors (see below), whose sum is σ = 3023306. Its totient is φ = 230400.

The previous prime is 867589. The next prime is 867617. The reversal of 867600 is 6768.

It can be written as a sum of positive squares in 3 ways, for example, as 121104 + 746496 = 348^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867600.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3480 + ... + 3720.

2⁸⁶⁷⁶⁰⁰ is an apocalyptic number.

867600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511653).

867600 is an abundant number, since it is smaller than the sum of its proper divisors (2155706).

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

867600 is a wasteful number, since it uses less digits than its factorization.

867600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 867600 is about 931.4504817756. The cubic root of 867600 is about 95.3761632362.

The spelling of 867600 in words is "eight hundred sixty-seven thousand, six hundred".