165364416 has 336 divisors, whose sum is σ = 591718400. Its totient is φ = 45722880.

The previous prime is 165364387. The next prime is 165364427. The reversal of 165364416 is 614463561.

It is a happy number.

165364416 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5334321 + ... + 5334351.

Almost surely, 2^165364416 is an apocalyptic number.

165364416 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 165364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859200).

165364416 is an abundant number, since it is smaller than the sum of its proper divisors (426353984).

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

165364416 is an frugal number, since it uses more digits than its factorization.

165364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 43 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 165364416 is about 12859.4096287505. The cubic root of 165364416 is about 548.8841464754.

The spelling of 165364416 in words is "one hundred sixty-five million, three hundred sixty-four thousand, four hundred sixteen".