864892 has 48 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 329472.

The previous prime is 864887. The next prime is 864901. The reversal of 864892 is 298468.

Its product of digits (27648) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10909 + ... + 10987.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁸⁶⁴⁸⁹² 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 864892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680).

864892 is an abundant number, since it is smaller than the sum of its proper divisors (1070468).

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

864892 is a wasteful number, since it uses less digits than its factorization.

864892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 128 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 864892 is about 929.9956989148. The cubic root of 864892 is about 95.2768287369.

The spelling of 864892 in words is "eight hundred sixty-four thousand, eight hundred ninety-two".