163516320 has 480 divisors, whose sum is σ = 667408896. Its totient is φ = 37324800.

The previous prime is 163516271. The next prime is 163516343. The reversal of 163516320 is 23615361.

163516320 is a `hidden beast` number, since 1 + 635 + 1 + 6 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 4419342 + ... + 4419378.

Almost surely, 2^163516320 is an apocalyptic number.

163516320 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 163516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333704448).

163516320 is an abundant number, since it is smaller than the sum of its proper divisors (503892576).

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

163516320 is a wasteful number, since it uses less digits than its factorization.

163516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

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

The square root of 163516320 is about 12787.3499991202. The cubic root of 163516320 is about 546.8317235741.

It can be divided in two parts, 1635 and 16320, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 163516320 in words is "one hundred sixty-three million, five hundred sixteen thousand, three hundred twenty".