163680 has 96 divisors (see below), whose sum is σ = 580608. Its totient is φ = 38400.
The previous prime is 163679. The next prime is 163697. The reversal of 163680 is 86361.
163680 = T48 + T49 + ... + T102.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×1636802 = 53582284800, which contains 22 as substring.
It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 163680.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5265 + ... + 5295.
It is an arithmetic number, because the mean of its divisors is an integer number (6048).
163680 is a Friedman number, since it can be written as 310*66*8, using all its digits and the basic arithmetic operations.
2163680 is an apocalyptic number.
163680 is a gapful number since it is divisible by the number (10) 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 163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304).
163680 is an abundant number, since it is smaller than the sum of its proper divisors (416928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
163680 is a wasteful number, since it uses less digits than its factorization.
163680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The square root of 163680 is about 404.5738498717. The cubic root of 163680 is about 54.7014122428.
The spelling of 163680 in words is "one hundred sixty-three thousand, six hundred eighty".
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