816546006 has 48 divisors (see below), whose sum is σ = 1916847504. Its totient is φ = 250209792.

The previous prime is 816545981. The next prime is 816546041. The reversal of 816546006 is 600645618.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17871 + ... + 44186.

It is an arithmetic number, because the mean of its divisors is an integer number (39934323).

Almost surely, 2^816546006 is an apocalyptic number.

816546006 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

816546006 is an abundant number, since it is smaller than the sum of its proper divisors (1100301498).

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

816546006 is a wasteful number, since it uses less digits than its factorization.

816546006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62125 (or 62122 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 816546006 is about 28575.2691325909. The cubic root of 816546006 is about 934.6741239983.

The spelling of 816546006 in words is "eight hundred sixteen million, five hundred forty-six thousand, six".