165950940 has 96 divisors (see below), whose sum is σ = 517950720. Its totient is φ = 39453696.

The previous prime is 165950891. The next prime is 165950989. The reversal of 165950940 is 49059561.

It is an interprime number because it is at equal distance from previous prime (165950891) and next prime (165950989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15099 + ... + 23661.

It is an arithmetic number, because the mean of its divisors is an integer number (5395320).

Almost surely, 2^165950940 is an apocalyptic number.

165950940 is a gapful number since it is divisible by the number (10) 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 165950940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258975360).

165950940 is an abundant number, since it is smaller than the sum of its proper divisors (351999780).

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

165950940 is a wasteful number, since it uses less digits than its factorization.

165950940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 165950940 is about 12882.1946887943. The cubic root of 165950940 is about 549.5323186829.

The spelling of 165950940 in words is "one hundred sixty-five million, nine hundred fifty thousand, nine hundred forty".