164580416 has 168 divisors, whose sum is σ = 447543936. Its totient is φ = 59028480.

The previous prime is 164580397. The next prime is 164580439. The reversal of 164580416 is 614085461.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448265 + ... + 448631.

It is an arithmetic number, because the mean of its divisors is an integer number (2663952).

Almost surely, 2^164580416 is an apocalyptic number.

164580416 is a gapful number since it is divisible by the number (16) 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 164580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223771968).

164580416 is an abundant number, since it is smaller than the sum of its proper divisors (282963520).

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

164580416 is a wasteful number, since it uses less digits than its factorization.

164580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 164580416 is about 12828.8898974151. The cubic root of 164580416 is about 548.0153440213.

The spelling of 164580416 in words is "one hundred sixty-four million, five hundred eighty thousand, four hundred sixteen".