168164480 has 64 divisors (see below), whose sum is σ = 438583680. Its totient is φ = 61148160.

The previous prime is 168164467. The next prime is 168164489. The reversal of 168164480 is 84461861.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (168164489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4904 + ... + 18983.

It is an arithmetic number, because the mean of its divisors is an integer number (6852870).

Almost surely, 2^168164480 is an apocalyptic number.

168164480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168164480 is an abundant number, since it is smaller than the sum of its proper divisors (270419200).

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

168164480 is a wasteful number, since it uses less digits than its factorization.

168164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23917 (or 23905 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The square root of 168164480 is about 12967.8247983230. The cubic root of 168164480 is about 551.9648510841.

The spelling of 168164480 in words is "one hundred sixty-eight million, one hundred sixty-four thousand, four hundred eighty".