212194080 has 240 divisors, whose sum is σ = 856215360. Its totient is φ = 48480768.

The previous prime is 212194063. The next prime is 212194091. The reversal of 212194080 is 80491212.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89551 + ... + 91889.

It is an arithmetic number, because the mean of its divisors is an integer number (3567564).

Almost surely, 2^212194080 is an apocalyptic number.

212194080 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 212194080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

212194080 is an abundant number, since it is smaller than the sum of its proper divisors (644021280).

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

212194080 is a wasteful number, since it uses less digits than its factorization.

212194080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2356 counting only the distinct ones).

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

The square root of 212194080 is about 14566.8829884777. The cubic root of 212194080 is about 596.4550973554.

The spelling of 212194080 in words is "two hundred twelve million, one hundred ninety-four thousand, eighty".