163829760 has 96 divisors (see below), whose sum is σ = 524225520. Its totient is φ = 43679744.

The previous prime is 163829749. The next prime is 163829791. The reversal of 163829760 is 67928361.

It is a happy number.

163829760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28054 + ... + 33386.

Almost surely, 2^163829760 is an apocalyptic number.

163829760 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 163829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262112760).

163829760 is an abundant number, since it is smaller than the sum of its proper divisors (360395760).

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

163829760 is an equidigital number, since it uses as much as digits as its factorization.

163829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5363 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 163829760 is about 12799.5999937498. The cubic root of 163829760 is about 547.1809028594.

The spelling of 163829760 in words is "one hundred sixty-three million, eight hundred twenty-nine thousand, seven hundred sixty".