165391416 has 64 divisors (see below), whose sum is σ = 470131200. Its totient is φ = 53845344.

The previous prime is 165391411. The next prime is 165391423. The reversal of 165391416 is 614193561.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165391411) 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, 385 + ... + 18191.

It is an arithmetic number, because the mean of its divisors is an integer number (7345800).

Almost surely, 2^165391416 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 165391416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235065600).

165391416 is an abundant number, since it is smaller than the sum of its proper divisors (304739784).

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

165391416 is a wasteful number, since it uses less digits than its factorization.

165391416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17865 (or 17855 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 165391416 is about 12860.4594008146. The cubic root of 165391416 is about 548.9140180076.

It can be divided in two parts, 16539 and 1416, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 165391416 in words is "one hundred sixty-five million, three hundred ninety-one thousand, four hundred sixteen".