163365120 has 288 divisors, whose sum is σ = 603388800. Its totient is φ = 41803776.

The previous prime is 163365109. The next prime is 163365143. The reversal of 163365120 is 21563361.

163365120 is a `hidden beast` number, since 1 + 6 + 3 + 3 + 651 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×163365120² = 53376324865228800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002159 + ... + 1002321.

It is an arithmetic number, because the mean of its divisors is an integer number (2095100).

Almost surely, 2^163365120 is an apocalyptic number.

163365120 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 163365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301694400).

163365120 is an abundant number, since it is smaller than the sum of its proper divisors (440023680).

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

163365120 is a wasteful number, since it uses less digits than its factorization.

163365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 163365120 is about 12781.4365389811. The cubic root of 163365120 is about 546.6631237790.

The spelling of 163365120 in words is "one hundred sixty-three million, three hundred sixty-five thousand, one hundred twenty".