867900 has 72 divisors (see below), whose sum is σ = 2749824. Its totient is φ = 209600.

The previous prime is 867887. The next prime is 867913. The reversal of 867900 is 9768.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (867887) and next prime (867913).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

867900 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 23 ways as a sum of consecutive naturals, for example, 3169 + ... + 3431.

It is an arithmetic number, because the mean of its divisors is an integer number (38192).

2⁸⁶⁷⁹⁰⁰ 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 867900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374912).

867900 is an abundant number, since it is smaller than the sum of its proper divisors (1881924).

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

867900 is a wasteful number, since it uses less digits than its factorization.

867900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 867900 is about 931.6115070135. The cubic root of 867900 is about 95.3871550726.

The spelling of 867900 in words is "eight hundred sixty-seven thousand, nine hundred".