163140960 has 96 divisors (see below), whose sum is σ = 521240832. Its totient is φ = 42882560.

The previous prime is 163140953. The next prime is 163140961. The reversal of 163140960 is 69041361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×163140960² = 53229945659443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163140961) 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 15 ways as a sum of consecutive naturals, for example, 31687 + ... + 36473.

It is an arithmetic number, because the mean of its divisors is an integer number (5429592).

Almost surely, 2^163140960 is an apocalyptic number.

163140960 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 163140960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

163140960 is an abundant number, since it is smaller than the sum of its proper divisors (358099872).

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

163140960 is a wasteful number, since it uses less digits than its factorization.

163140960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 163140960 is about 12772.6645614766. The cubic root of 163140960 is about 546.4129763465.

The spelling of 163140960 in words is "one hundred sixty-three million, one hundred forty thousand, nine hundred sixty".