867384 has 48 divisors (see below), whose sum is σ = 2686320. Its totient is φ = 247680.

The previous prime is 867371. The next prime is 867389. The reversal of 867384 is 483768.

867384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 867384.

It is not an unprimeable number, because it can be changed into a prime (867389) by changing a digit.

867384 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 11 ways as a sum of consecutive naturals, for example, 357 + ... + 1364.

It is an arithmetic number, because the mean of its divisors is an integer number (55965).

2⁸⁶⁷³⁸⁴ is an apocalyptic number.

867384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

867384 is an abundant number, since it is smaller than the sum of its proper divisors (1818936).

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

867384 is a wasteful number, since it uses less digits than its factorization.

867384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1733 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 867384 is about 931.3345263653. The cubic root of 867384 is about 95.3682475450.

The spelling of 867384 in words is "eight hundred sixty-seven thousand, three hundred eighty-four".