163146960 has 200 divisors, whose sum is σ = 600370056. Its totient is φ = 40919040.

The previous prime is 163146959. The next prime is 163146961. The reversal of 163146960 is 69641361.

163146960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163146959) and next prime (163146961).

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 134374464 = 5364^2 + 11592^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163146961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109420 + ... + 110900.

Almost surely, 2^163146960 is an apocalyptic number.

163146960 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 163146960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300185028).

163146960 is an abundant number, since it is smaller than the sum of its proper divisors (437223096).

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

163146960 is a wasteful number, since it uses less digits than its factorization.

163146960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 163146960 is about 12772.8994359151. The cubic root of 163146960 is about 546.4196749252.

The spelling of 163146960 in words is "one hundred sixty-three million, one hundred forty-six thousand, nine hundred sixty".