163829952 has 420 divisors, whose sum is σ = 607426776. Its totient is φ = 43130880.

The previous prime is 163829933. The next prime is 163829977. The reversal of 163829952 is 259928361.

163829952 is a `hidden beast` number, since 1 + 638 + 2 + 9 + 9 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 163829898 and 163829907.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9637048 + ... + 9637064.

Almost surely, 2^163829952 is an apocalyptic number.

163829952 is a gapful number since it is divisible by the number (12) 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 163829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303713388).

163829952 is an abundant number, since it is smaller than the sum of its proper divisors (443596824).

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

163829952 is a wasteful number, since it uses less digits than its factorization.

163829952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 46 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 163829952 is about 12799.6074939820. The cubic root of 163829952 is about 547.1811166152.

The spelling of 163829952 in words is "one hundred sixty-three million, eight hundred twenty-nine thousand, nine hundred fifty-two".