165066240 has 80 divisors (see below), whose sum is σ = 527720688. Its totient is φ = 44015616.

The previous prime is 165066233. The next prime is 165066257. The reversal of 165066240 is 42660561.

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 = 165066198 and 165066207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3067 + ... + 18426.

Almost surely, 2^165066240 is an apocalyptic number.

165066240 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 165066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263860344).

165066240 is an abundant number, since it is smaller than the sum of its proper divisors (362654448).

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

165066240 is an equidigital number, since it uses as much as digits as its factorization.

165066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21519 (or 21503 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 165066240 is about 12847.8107084437. The cubic root of 165066240 is about 548.5540421077.

The spelling of 165066240 in words is "one hundred sixty-five million, sixty-six thousand, two hundred forty".