165227040 has 480 divisors, whose sum is σ = 680581440. Its totient is φ = 37324800.

The previous prime is 165226991. The next prime is 165227053. The reversal of 165227040 is 40722561.

165227040 is a `hidden beast` number, since 1 + 652 + 2 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 165226995 and 165227013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708610 + ... + 2708670.

It is an arithmetic number, because the mean of its divisors is an integer number (1417878).

Almost surely, 2^165227040 is an apocalyptic number.

165227040 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 165227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

165227040 is an abundant number, since it is smaller than the sum of its proper divisors (515354400).

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

165227040 is a wasteful number, since it uses less digits than its factorization.

165227040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

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

The square root of 165227040 is about 12854.0670606622. The cubic root of 165227040 is about 548.7321097386.

The spelling of 165227040 in words is "one hundred sixty-five million, two hundred twenty-seven thousand, forty".