165027240 has 256 divisors, whose sum is σ = 638668800. Its totient is φ = 37124352.

The previous prime is 165027223. The next prime is 165027241. The reversal of 165027240 is 42720561.

165027240 is a `hidden beast` number, since 1 + 650 + 2 + 7 + 2 + 4 + 0 = 666.

165027240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (165027241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627349 + ... + 627611.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^165027240 is an apocalyptic number.

165027240 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 165027240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319334400).

165027240 is an abundant number, since it is smaller than the sum of its proper divisors (473641560).

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

165027240 is a wasteful number, since it uses less digits than its factorization.

165027240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 165027240 is about 12846.2928504686. The cubic root of 165027240 is about 548.5108366391.

The spelling of 165027240 in words is "one hundred sixty-five million, twenty-seven thousand, two hundred forty".