212906080 has 48 divisors (see below), whose sum is σ = 505237824. Its totient is φ = 84782080.

The previous prime is 212906069. The next prime is 212906087. The reversal of 212906080 is 80609212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212906087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34425 + ... + 40135.

It is an arithmetic number, because the mean of its divisors is an integer number (10525788).

Almost surely, 2^212906080 is an apocalyptic number.

212906080 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 212906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252618912).

212906080 is an abundant number, since it is smaller than the sum of its proper divisors (292331744).

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

212906080 is a wasteful number, since it uses less digits than its factorization.

212906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 212906080 is about 14591.3015183705. The cubic root of 212906080 is about 597.1214714662.

The spelling of 212906080 in words is "two hundred twelve million, nine hundred six thousand, eighty".