212176080 has 120 divisors (see below), whose sum is σ = 717478632. Its totient is φ = 56189952.

The previous prime is 212176079. The next prime is 212176103. The reversal of 212176080 is 80671212.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 196112016 = 4008^2 + 14004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112102 + ... + 113978.

Almost surely, 2^212176080 is an apocalyptic number.

212176080 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 212176080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358739316).

212176080 is an abundant number, since it is smaller than the sum of its proper divisors (505302552).

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

212176080 is a wasteful number, since it uses less digits than its factorization.

212176080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 212176080 is about 14566.2651355795. The cubic root of 212176080 is about 596.4382315136.

The spelling of 212176080 in words is "two hundred twelve million, one hundred seventy-six thousand, eighty".