163464 has 48 divisors (see below), whose sum is σ = 478800. Its totient is φ = 46368.

The previous prime is 163433. The next prime is 163469. The reversal of 163464 is 464361.

163464 = 32² + 33² + ... + 80².

163464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (163469) by changing a digit.

163464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1107 + ... + 1245.

It is an arithmetic number, because the mean of its divisors is an integer number (9975).

2¹⁶³⁴⁶⁴ is an apocalyptic number.

163464 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 163464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239400).

163464 is an abundant number, since it is smaller than the sum of its proper divisors (315336).

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

163464 is a wasteful number, since it uses less digits than its factorization.

163464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 163464 is about 404.3068141894. The cubic root of 163464 is about 54.6773394457.

The spelling of 163464 in words is "one hundred sixty-three thousand, four hundred sixty-four".