212734080 has 256 divisors, whose sum is σ = 812246400. Its totient is φ = 52310016.

The previous prime is 212734033. The next prime is 212734087. The reversal of 212734080 is 80437212.

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

It is not an unprimeable number, because it can be changed into a prime (212734087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224167 + ... + 225113.

Almost surely, 2^212734080 is an apocalyptic number.

212734080 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 212734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406123200).

212734080 is an abundant number, since it is smaller than the sum of its proper divisors (599512320).

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

212734080 is a wasteful number, since it uses less digits than its factorization.

212734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 212734080 is about 14585.4064050338. The cubic root of 212734080 is about 596.9606297110.

The spelling of 212734080 in words is "two hundred twelve million, seven hundred thirty-four thousand, eighty".