168006816 has 72 divisors (see below), whose sum is σ = 502931520. Its totient is φ = 53053056.

The previous prime is 168006757. The next prime is 168006833. The reversal of 168006816 is 618600861.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9880 + ... + 20823.

It is an arithmetic number, because the mean of its divisors is an integer number (6985160).

Almost surely, 2^168006816 is an apocalyptic number.

168006816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168006816 is an abundant number, since it is smaller than the sum of its proper divisors (334924704).

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

168006816 is a wasteful number, since it uses less digits than its factorization.

168006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30738 (or 30727 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 168006816 is about 12961.7443270572. The cubic root of 168006816 is about 551.7922974083.

The spelling of 168006816 in words is "one hundred sixty-eight million, six thousand, eight hundred sixteen".