163986960 has 160 divisors (see below), whose sum is σ = 532644480. Its totient is φ = 41693184.

The previous prime is 163986959. The next prime is 163987007. The reversal of 163986960 is 69689361.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 523764 + ... + 524076.

It is an arithmetic number, because the mean of its divisors is an integer number (3329028).

Almost surely, 2^163986960 is an apocalyptic number.

163986960 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 163986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266322240).

163986960 is an abundant number, since it is smaller than the sum of its proper divisors (368657520).

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

163986960 is a wasteful number, since it uses less digits than its factorization.

163986960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 163986960 is about 12805.7393382811. The cubic root of 163986960 is about 547.3558595555.

The spelling of 163986960 in words is "one hundred sixty-three million, nine hundred eighty-six thousand, nine hundred sixty".