806472 has 48 divisors (see below), whose sum is σ = 2283840. Its totient is φ = 256608.

The previous prime is 806467. The next prime is 806483. The reversal of 806472 is 274608.

It is an unprimeable number.

806472 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 11 ways as a sum of consecutive naturals, for example, 1413 + ... + 1899.

It is an arithmetic number, because the mean of its divisors is an integer number (47580).

2⁸⁰⁶⁴⁷² 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 806472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141920).

806472 is an abundant number, since it is smaller than the sum of its proper divisors (1477368).

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

806472 is a wasteful number, since it uses less digits than its factorization.

806472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 806472 is about 898.0378611172. The cubic root of 806472 is about 93.0814409741.

The spelling of 806472 in words is "eight hundred six thousand, four hundred seventy-two".