165059720 has 64 divisors (see below), whose sum is σ = 427593600. Its totient is φ = 56171520.

The previous prime is 165059711. The next prime is 165059731. The reversal of 165059720 is 27950561.

It is a super-2 number, since 2×165059720² = 54489422332956800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36800 + ... + 41040.

It is an arithmetic number, because the mean of its divisors is an integer number (6681150).

Almost surely, 2^165059720 is an apocalyptic number.

165059720 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 165059720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213796800).

165059720 is an abundant number, since it is smaller than the sum of its proper divisors (262533880).

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

165059720 is a wasteful number, since it uses less digits than its factorization.

165059720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4394 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 165059720 is about 12847.5569662096. The cubic root of 165059720 is about 548.5468195134.

The spelling of 165059720 in words is "one hundred sixty-five million, fifty-nine thousand, seven hundred twenty".