806538240 has 264 divisors, whose sum is σ = 2919971808. Its totient is φ = 205455360.

The previous prime is 806538221. The next prime is 806538241. The reversal of 806538240 is 42835608.

806538240 is a `hidden beast` number, since 80 + 6 + 538 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 806538195 and 806538204.

It is not an unprimeable number, because it can be changed into a prime (806538241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1059460 + ... + 1060220.

Almost surely, 2^806538240 is an apocalyptic number.

806538240 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 806538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459985904).

806538240 is an abundant number, since it is smaller than the sum of its proper divisors (2113433568).

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

806538240 is a wasteful number, since it uses less digits than its factorization.

806538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 806538240 is about 28399.6168988245. The cubic root of 806538240 is about 930.8398933531.

The spelling of 806538240 in words is "eight hundred six million, five hundred thirty-eight thousand, two hundred forty".