165301920 has 432 divisors, whose sum is σ = 695665152. Its totient is φ = 34974720.

The previous prime is 165301901. The next prime is 165301921. The reversal of 165301920 is 29103561.

165301920 is a `hidden beast` number, since 1 + 653 + 0 + 1 + 9 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165301921) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 5332305 + ... + 5332335.

It is an arithmetic number, because the mean of its divisors is an integer number (1610336).

Almost surely, 2^165301920 is an apocalyptic number.

165301920 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 165301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347832576).

165301920 is an abundant number, since it is smaller than the sum of its proper divisors (530363232).

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

165301920 is a wasteful number, since it uses less digits than its factorization.

165301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 165301920 is about 12856.9794275327. The cubic root of 165301920 is about 548.8149913598.

The spelling of 165301920 in words is "one hundred sixty-five million, three hundred one thousand, nine hundred twenty".