212629968 has 80 divisors (see below), whose sum is σ = 614891200. Its totient is φ = 70346880.

The previous prime is 212629939. The next prime is 212629987. The reversal of 212629968 is 869926212.

212629968 is a `hidden beast` number, since 2 + 12 + 629 + 9 + 6 + 8 = 666.

212629968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 58278 + ... + 61818.

It is an arithmetic number, because the mean of its divisors is an integer number (7686140).

Almost surely, 2^212629968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212629968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307445600).

212629968 is an abundant number, since it is smaller than the sum of its proper divisors (402261232).

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

212629968 is a wasteful number, since it uses less digits than its factorization.

212629968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697 (or 3685 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 212629968 is about 14581.8369213210. The cubic root of 212629968 is about 596.8632296976.

The spelling of 212629968 in words is "two hundred twelve million, six hundred twenty-nine thousand, nine hundred sixty-eight".