163416864 has 96 divisors (see below), whose sum is σ = 474586560. Its totient is φ = 48909312.

The previous prime is 163416859. The next prime is 163416893. The reversal of 163416864 is 468614361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44407 + ... + 47945.

It is an arithmetic number, because the mean of its divisors is an integer number (4943610).

Almost surely, 2^163416864 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 163416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237293280).

163416864 is an abundant number, since it is smaller than the sum of its proper divisors (311169696).

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

163416864 is a wasteful number, since it uses less digits than its factorization.

163416864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3602 (or 3594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 163416864 is about 12783.4605643386. The cubic root of 163416864 is about 546.7208340800.

The spelling of 163416864 in words is "one hundred sixty-three million, four hundred sixteen thousand, eight hundred sixty-four".