163906512 has 160 divisors (see below), whose sum is σ = 537298944. Its totient is φ = 41817600.

The previous prime is 163906511. The next prime is 163906513. The reversal of 163906512 is 215609361.

It is a happy number.

163906512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (163906511) and next prime (163906513).

It is a super-2 number, since 2×163906512² = 53730689352012288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163906511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225093 + ... + 225819.

Almost surely, 2^163906512 is an apocalyptic number.

163906512 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 163906512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268649472).

163906512 is an abundant number, since it is smaller than the sum of its proper divisors (373392432).

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

163906512 is a wasteful number, since it uses less digits than its factorization.

163906512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 163906512 is about 12802.5978613717. The cubic root of 163906512 is about 547.2663384400.

The spelling of 163906512 in words is "one hundred sixty-three million, nine hundred six thousand, five hundred twelve".