165969408 has 240 divisors, whose sum is σ = 522466560. Its totient is φ = 46632960.

The previous prime is 165969289. The next prime is 165969409. The reversal of 165969408 is 804969561.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165969409) 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, 3531241 + ... + 3531287.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^165969408 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 165969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261233280).

165969408 is an abundant number, since it is smaller than the sum of its proper divisors (356497152).

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

165969408 is a wasteful number, since it uses less digits than its factorization.

165969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 165969408 is about 12882.9114721789. The cubic root of 165969408 is about 549.5527029933.

The spelling of 165969408 in words is "one hundred sixty-five million, nine hundred sixty-nine thousand, four hundred eight".