165264616 has 64 divisors (see below), whose sum is σ = 363994560. Its totient is φ = 69504000.

The previous prime is 165264613. The next prime is 165264629. The reversal of 165264616 is 616462561.

It is not an unprimeable number, because it can be changed into a prime (165264611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90351 + ... + 92161.

It is an arithmetic number, because the mean of its divisors is an integer number (5687415).

Almost surely, 2^165264616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165264616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181997280).

165264616 is an abundant number, since it is smaller than the sum of its proper divisors (198729944).

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

165264616 is a wasteful number, since it uses less digits than its factorization.

165264616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1902 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 165264616 is about 12855.5286161247. The cubic root of 165264616 is about 548.7737042114.

The spelling of 165264616 in words is "one hundred sixty-five million, two hundred sixty-four thousand, six hundred sixteen".