163979424 has 192 divisors, whose sum is σ = 575769600. Its totient is φ = 44354304.

The previous prime is 163979419. The next prime is 163979447. The reversal of 163979424 is 424979361.

It is a happy number.

163979424 is a `hidden beast` number, since 1 + 639 + 7 + 9 + 4 + 2 + 4 = 666.

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

Its product of digits (326592) is a multiple of the sum of its prime divisors (1458).

It is a self number, because there is not a number n which added to its sum of digits gives 163979424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114199 + ... + 115625.

It is an arithmetic number, because the mean of its divisors is an integer number (2998800).

Almost surely, 2^163979424 is an apocalyptic number.

163979424 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 163979424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

163979424 is an abundant number, since it is smaller than the sum of its proper divisors (411790176).

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

163979424 is a wasteful number, since it uses less digits than its factorization.

163979424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1458 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 163979424 is about 12805.4450918350. The cubic root of 163979424 is about 547.3474748706.

The spelling of 163979424 in words is "one hundred sixty-three million, nine hundred seventy-nine thousand, four hundred twenty-four".