868352 has 30 divisors (see below), whose sum is σ = 1769418. Its totient is φ = 425984.

The previous prime is 868349. The next prime is 868369. The reversal of 868352 is 253868.

It can be written as a sum of positive squares in only one way, i.e., 802816 + 65536 = 896^2 + 256^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16358 + ... + 16410.

868352 is a Friedman number, since it can be written as 8^6*(3+5/(8*2)), using all its digits and the basic arithmetic operations.

2⁸⁶⁸³⁵² 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 868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884709).

868352 is an abundant number, since it is smaller than the sum of its proper divisors (901066).

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

868352 is an frugal number, since it uses more digits than its factorization.

868352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 55 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 868352 is about 931.8540658279. The cubic root of 868352 is about 95.4037113239.

The spelling of 868352 in words is "eight hundred sixty-eight thousand, three hundred fifty-two".