165416664 has 96 divisors (see below), whose sum is σ = 502202880. Its totient is φ = 44468736.

The previous prime is 165416663. The next prime is 165416683. The reversal of 165416664 is 466614561.

It is a happy number.

165416664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165416663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46849 + ... + 50255.

It is an arithmetic number, because the mean of its divisors is an integer number (5231280).

Almost surely, 2^165416664 is an apocalyptic number.

165416664 is a gapful number since it is divisible by the number (14) 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 165416664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251101440).

165416664 is an abundant number, since it is smaller than the sum of its proper divisors (336786216).

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

165416664 is a wasteful number, since it uses less digits than its factorization.

165416664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3436 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 165416664 is about 12861.4409768113. The cubic root of 165416664 is about 548.9419482680.

The spelling of 165416664 in words is "one hundred sixty-five million, four hundred sixteen thousand, six hundred sixty-four".