806511420 has 144 divisors (see below), whose sum is σ = 2874205152. Its totient is φ = 180472320.

The previous prime is 806511413. The next prime is 806511421. The reversal of 806511420 is 24115608.

806511420 is a `hidden beast` number, since 8 + 0 + 651 + 1 + 4 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806511421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10074 + ... + 41406.

It is an arithmetic number, because the mean of its divisors is an integer number (19959758).

Almost surely, 2^806511420 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 806511420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437102576).

806511420 is an abundant number, since it is smaller than the sum of its proper divisors (2067693732).

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

806511420 is a wasteful number, since it uses less digits than its factorization.

806511420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31372 (or 31367 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 806511420 is about 28399.1447054308. The cubic root of 806511420 is about 930.8295754284.

The spelling of 806511420 in words is "eight hundred six million, five hundred eleven thousand, four hundred twenty".