862080 has 64 divisors (see below), whose sum is σ = 2754000. Its totient is φ = 229376.

The previous prime is 862067. The next prime is 862097. The reversal of 862080 is 80268.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 862080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696 + ... + 2144.

2⁸⁶²⁰⁸⁰ is an apocalyptic number.

862080 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 862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377000).

862080 is an abundant number, since it is smaller than the sum of its proper divisors (1891920).

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

862080 is a wasteful number, since it uses less digits than its factorization.

862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 862080 is about 928.4826331171. The cubic root of 862080 is about 95.1734596355.

The spelling of 862080 in words is "eight hundred sixty-two thousand, eighty".