212179968 has 528 divisors, whose sum is σ = 858364416. Its totient is φ = 48660480.

The previous prime is 212179967. The next prime is 212179999. The reversal of 212179968 is 869971212.

212179968 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 (528).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212179967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9225205 + ... + 9225227.

Almost surely, 2^212179968 is an apocalyptic number.

212179968 is a gapful number since it is divisible by the number (28) 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 212179968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429182208).

212179968 is an abundant number, since it is smaller than the sum of its proper divisors (646184448).

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

212179968 is a wasteful number, since it uses less digits than its factorization.

212179968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 212179968 is about 14566.3985940245. The cubic root of 212179968 is about 596.4418746162.

The spelling of 212179968 in words is "two hundred twelve million, one hundred seventy-nine thousand, nine hundred sixty-eight".