862912 has 28 divisors (see below), whose sum is σ = 1742440. Its totient is φ = 423936.

The previous prime is 862909. The next prime is 862913. The reversal of 862912 is 219268.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (862913) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6139 + ... + 6277.

It is an arithmetic number, because the mean of its divisors is an integer number (62230).

2⁸⁶²⁹¹² 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 862912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871220).

862912 is an abundant number, since it is smaller than the sum of its proper divisors (879528).

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

862912 is a wasteful number, since it uses less digits than its factorization.

862912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 862912 is about 928.9305679113. The cubic root of 862912 is about 95.2040673356.

Subtracting from 862912 its product of digits (1728), we obtain a square (861184 = 928²).

The spelling of 862912 in words is "eight hundred sixty-two thousand, nine hundred twelve".