163766016 has 288 divisors, whose sum is σ = 539616000. Its totient is φ = 48771072.

The previous prime is 163766011. The next prime is 163766017. The reversal of 163766016 is 610667361.

163766016 is a `hidden beast` number, since 1 + 637 + 6 + 6 + 0 + 16 = 666.

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

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 (163766011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3808491 + ... + 3808533.

Almost surely, 2^163766016 is an apocalyptic number.

163766016 is a gapful number since it is divisible by the number (16) 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 163766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269808000).

163766016 is an abundant number, since it is smaller than the sum of its proper divisors (375849984).

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

163766016 is a wasteful number, since it uses less digits than its factorization.

163766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 163766016 is about 12797.1096736724. The cubic root of 163766016 is about 547.1099266945.

The spelling of 163766016 in words is "one hundred sixty-three million, seven hundred sixty-six thousand, sixteen".