862668 has 36 divisors (see below), whose sum is σ = 2253888. Its totient is φ = 277920.

The previous prime is 862651. The next prime is 862669. The reversal of 862668 is 866268.

862668 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (862669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 1502.

It is an arithmetic number, because the mean of its divisors is an integer number (62608).

2⁸⁶²⁶⁶⁸ 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 862668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126944).

862668 is an abundant number, since it is smaller than the sum of its proper divisors (1391220).

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

862668 is a wasteful number, since it uses less digits than its factorization.

862668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 862668 is about 928.7992248059. The cubic root of 862668 is about 95.1950930785.

Subtracting 862668 from its reverse (866268), we obtain a square (3600 = 60²).

The spelling of 862668 in words is "eight hundred sixty-two thousand, six hundred sixty-eight".