163709952 has 176 divisors, whose sum is σ = 521935872. Its totient is φ = 44605440.

The previous prime is 163709927. The next prime is 163709963. The reversal of 163709952 is 259907361.

163709952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) 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 (42).

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, 494427 + ... + 494757.

Almost surely, 2^163709952 is an apocalyptic number.

163709952 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 163709952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260967936).

163709952 is an abundant number, since it is smaller than the sum of its proper divisors (358225920).

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

163709952 is a wasteful number, since it uses less digits than its factorization.

163709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 163709952 is about 12794.9189915372. The cubic root of 163709952 is about 547.0474866503.

The spelling of 163709952 in words is "one hundred sixty-three million, seven hundred nine thousand, nine hundred fifty-two".