212168160 has 336 divisors, whose sum is σ = 803171376. Its totient is φ = 52752384.

The previous prime is 212168141. The next prime is 212168171. The reversal of 212168160 is 61861212.

212168160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1982827 + ... + 1982933.

It is an arithmetic number, because the mean of its divisors is an integer number (2390391).

Almost surely, 2^212168160 is an apocalyptic number.

212168160 is a gapful number since it is divisible by the number (20) 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 212168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401585688).

212168160 is an abundant number, since it is smaller than the sum of its proper divisors (591003216).

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

212168160 is a wasteful number, since it uses less digits than its factorization.

212168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 212168160 is about 14565.9932720017. The cubic root of 212168160 is about 596.4308102411.

The spelling of 212168160 in words is "two hundred twelve million, one hundred sixty-eight thousand, one hundred sixty".