212060160 has 384 divisors, whose sum is σ = 825552000. Its totient is φ = 51314688.

The previous prime is 212060153. The next prime is 212060179. The reversal of 212060160 is 61060212.

It is a happy number.

212060160 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 601 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×212060160² = 89939022918451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594211 + ... + 3594269.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 2^212060160 is an apocalyptic number.

212060160 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 212060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412776000).

212060160 is an abundant number, since it is smaller than the sum of its proper divisors (613491840).

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

212060160 is a wasteful number, since it uses less digits than its factorization.

212060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212060160 is about 14562.2855349014. The cubic root of 212060160 is about 596.3295926342.

The spelling of 212060160 in words is "two hundred twelve million, sixty thousand, one hundred sixty".