163404864 has 336 divisors, whose sum is σ = 591718400. Its totient is φ = 43670016.

The previous prime is 163404863. The next prime is 163404881. The reversal of 163404864 is 468404361.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×163404864² = 53402299157716992, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (163404863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2068377 + ... + 2068455.

Almost surely, 2^163404864 is an apocalyptic number.

163404864 is a gapful number since it is divisible by the number (14) 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 163404864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859200).

163404864 is an abundant number, since it is smaller than the sum of its proper divisors (428313536).

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

163404864 is an equidigital number, since it uses as much as digits as its factorization.

163404864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 163404864 is about 12782.9911992460. The cubic root of 163404864 is about 546.7074515146.

The spelling of 163404864 in words is "one hundred sixty-three million, four hundred four thousand, eight hundred sixty-four".