165409968 has 80 divisors (see below), whose sum is σ = 444614400. Its totient is φ = 52926720.

The previous prime is 165409957. The next prime is 165409969. The reversal of 165409968 is 869904561.

It is a super-2 number, since 2×165409968² = 54720915027522048, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (165409969) 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, 460573 + ... + 460931.

It is an arithmetic number, because the mean of its divisors is an integer number (5557680).

Almost surely, 2^165409968 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 165409968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222307200).

165409968 is an abundant number, since it is smaller than the sum of its proper divisors (279204432).

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

165409968 is a wasteful number, since it uses less digits than its factorization.

165409968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 724 counting only the distinct ones).

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

The square root of 165409968 is about 12861.1806611990. The cubic root of 165409968 is about 548.9345411850.

The spelling of 165409968 in words is "one hundred sixty-five million, four hundred nine thousand, nine hundred sixty-eight".