806948240 has 160 divisors (see below), whose sum is σ = 2276640000. Its totient is φ = 259835904.

The previous prime is 806948239. The next prime is 806948249. The reversal of 806948240 is 42849608.

It is not an unprimeable number, because it can be changed into a prime (806948249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585106 + ... + 1585614.

It is an arithmetic number, because the mean of its divisors is an integer number (14229000).

Almost surely, 2^806948240 is an apocalyptic number.

806948240 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 806948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320000).

806948240 is an abundant number, since it is smaller than the sum of its proper divisors (1469691760).

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

806948240 is a wasteful number, since it uses less digits than its factorization.

806948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The square root of 806948240 is about 28406.8343889283. The cubic root of 806948240 is about 930.9975960247.

The spelling of 806948240 in words is "eight hundred six million, nine hundred forty-eight thousand, two hundred forty".