164215680 has 192 divisors, whose sum is σ = 546944400. Its totient is φ = 41902080.

The previous prime is 164215673. The next prime is 164215691. The reversal of 164215680 is 86512461.

It is a tau number, because it is divible by the number of its divisors (192).

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, 1845076 + ... + 1845164.

Almost surely, 2^164215680 is an apocalyptic number.

164215680 is a gapful number since it is divisible by the number (10) 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 164215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273472200).

164215680 is an abundant number, since it is smaller than the sum of its proper divisors (382728720).

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

164215680 is an equidigital number, since it uses as much as digits as its factorization.

164215680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 164215680 is about 12814.6665973017. Note that the first 3 decimals coincide. The cubic root of 164215680 is about 547.6102152961.

The spelling of 164215680 in words is "one hundred sixty-four million, two hundred fifteen thousand, six hundred eighty".