806306688 has 96 divisors (see below), whose sum is σ = 2531201400. Its totient is φ = 244331520.

The previous prime is 806306671. The next prime is 806306689. The reversal of 806306688 is 886603608.

806306688 is a `hidden beast` number, since 8 + 0 + 630 + 6 + 6 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×806306688² = 1300260950227058688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806306689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19143 + ... + 44486.

Almost surely, 2^806306688 is an apocalyptic number.

806306688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

806306688 is an abundant number, since it is smaller than the sum of its proper divisors (1724894712).

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

806306688 is a wasteful number, since it uses less digits than its factorization.

806306688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63660 (or 63645 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 806306688 is about 28395.5399314752. The cubic root of 806306688 is about 930.7508054223.

The spelling of 806306688 in words is "eight hundred six million, three hundred six thousand, six hundred eighty-eight".