806628144 has 80 divisors (see below), whose sum is σ = 2394132480. Its totient is φ = 229240320.

The previous prime is 806628143. The next prime is 806628161. The reversal of 806628144 is 441826608.

It is not an unprimeable number, because it can be changed into a prime (806628143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57892 + ... + 70460.

It is an arithmetic number, because the mean of its divisors is an integer number (29926656).

Almost surely, 2^806628144 is an apocalyptic number.

806628144 is a gapful number since it is divisible by the number (84) 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 806628144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197066240).

806628144 is an abundant number, since it is smaller than the sum of its proper divisors (1587504336).

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

806628144 is a wasteful number, since it uses less digits than its factorization.

806628144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 806628144 is about 28401.1996929707. The cubic root of 806628144 is about 930.8744786612.

The spelling of 806628144 in words is "eight hundred six million, six hundred twenty-eight thousand, one hundred forty-four".