165336240 has 80 divisors (see below), whose sum is σ = 519618528. Its totient is φ = 43481088.

The previous prime is 165336187. The next prime is 165336257. The reversal of 165336240 is 42633561.

165336240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 165336198 and 165336207.

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, 12802 + ... + 22238.

Almost surely, 2^165336240 is an apocalyptic number.

165336240 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 165336240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259809264).

165336240 is an abundant number, since it is smaller than the sum of its proper divisors (354282288).

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

165336240 is a wasteful number, since it uses less digits than its factorization.

165336240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9520 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 165336240 is about 12858.3140418952. The cubic root of 165336240 is about 548.8529704047.

The spelling of 165336240 in words is "one hundred sixty-five million, three hundred thirty-six thousand, two hundred forty".