212064160 has 144 divisors (see below), whose sum is σ = 636037920. Its totient is φ = 66071040.

The previous prime is 212064143. The next prime is 212064169. The reversal of 212064160 is 61460212.

212064160 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 (22).

It is not an unprimeable number, because it can be changed into a prime (212064169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85011 + ... + 87469.

It is an arithmetic number, because the mean of its divisors is an integer number (4416930).

Almost surely, 2^212064160 is an apocalyptic number.

212064160 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 212064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318018960).

212064160 is an abundant number, since it is smaller than the sum of its proper divisors (423973760).

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

212064160 is a wasteful number, since it uses less digits than its factorization.

212064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 212064160 is about 14562.4228753323. The cubic root of 212064160 is about 596.3333420472. Note that the first 4 decimals are identical.

The spelling of 212064160 in words is "two hundred twelve million, sixty-four thousand, one hundred sixty".