862960 has 80 divisors (see below), whose sum is σ = 2428416. Its totient is φ = 278784.

The previous prime is 862957. The next prime is 862973. The reversal of 862960 is 69268.

862960 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 (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12847 + ... + 12913.

2⁸⁶²⁹⁶⁰ is an apocalyptic number.

862960 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 862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214208).

862960 is an abundant number, since it is smaller than the sum of its proper divisors (1565456).

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

862960 is a wasteful number, since it uses less digits than its factorization.

862960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 862960 is about 928.9564037133. The cubic root of 862960 is about 95.2058325641.

The spelling of 862960 in words is "eight hundred sixty-two thousand, nine hundred sixty".