165379720 has 64 divisors (see below), whose sum is σ = 415419840. Its totient is φ = 58732800.

The previous prime is 165379673. The next prime is 165379733. The reversal of 165379720 is 27973561.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14550 + ... + 23290.

It is an arithmetic number, because the mean of its divisors is an integer number (6490935).

Almost surely, 2^165379720 is an apocalyptic number.

165379720 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 165379720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207709920).

165379720 is an abundant number, since it is smaller than the sum of its proper divisors (250040120).

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

165379720 is a wasteful number, since it uses less digits than its factorization.

165379720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8806 (or 8802 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 165379720 is about 12860.0046656290. The cubic root of 165379720 is about 548.9010785015.

The spelling of 165379720 in words is "one hundred sixty-five million, three hundred seventy-nine thousand, seven hundred twenty".