160638016 has 112 divisors (see below), whose sum is σ = 408627072. Its totient is φ = 60825600.

The previous prime is 160638011. The next prime is 160638019. The reversal of 160638016 is 610836061.

160638016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160638011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181896 + ... + 182776.

It is an arithmetic number, because the mean of its divisors is an integer number (3648456).

Almost surely, 2^160638016 is an apocalyptic number.

160638016 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 160638016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204313536).

160638016 is an abundant number, since it is smaller than the sum of its proper divisors (247989056).

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

160638016 is a wasteful number, since it uses less digits than its factorization.

160638016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 160638016 is about 12674.3053458562. The cubic root of 160638016 is about 543.6041670656.

The spelling of 160638016 in words is "one hundred sixty million, six hundred thirty-eight thousand, sixteen".