862720 has 40 divisors (see below), whose sum is σ = 2074644. Its totient is φ = 344064.

The previous prime is 862703. The next prime is 862727. The reversal of 862720 is 27268.

It can be written as a sum of positive squares in 2 ways, for example, as 831744 + 30976 = 912^2 + 176^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (862727) by changing a digit.

862720 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 3 ways as a sum of consecutive naturals, for example, 2392 + ... + 2728.

2⁸⁶²⁷²⁰ is an apocalyptic number.

862720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037322).

862720 is an abundant number, since it is smaller than the sum of its proper divisors (1211924).

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

862720 is an equidigital number, since it uses as much as digits as its factorization.

862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 862720 is about 928.8272175168. The cubic root of 862720 is about 95.1970057670.

Adding to 862720 its reverse (27268), we get a palindrome (889988).

The spelling of 862720 in words is "eight hundred sixty-two thousand, seven hundred twenty".