163416564 has 54 divisors (see below), whose sum is σ = 431871986. Its totient is φ = 52097760.

The previous prime is 163416553. The next prime is 163416571. The reversal of 163416564 is 465614361.

It is a happy number.

163416564 is a `hidden beast` number, since 1 + 634 + 16 + 5 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82955664 + 80460900 = 9108^2 + 8970^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14754 + ... + 23334.

Almost surely, 2^163416564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163416564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215935993).

163416564 is an abundant number, since it is smaller than the sum of its proper divisors (268455422).

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

163416564 is a wasteful number, since it uses less digits than its factorization.

163416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8637 (or 8609 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 163416564 is about 12783.4488304213. The cubic root of 163416564 is about 546.7204995238.

The spelling of 163416564 in words is "one hundred sixty-three million, four hundred sixteen thousand, five hundred sixty-four".