212863680 has 224 divisors, whose sum is σ = 763706880. Its totient is φ = 55802880.

The previous prime is 212863667. The next prime is 212863699. The reversal of 212863680 is 86368212.

212863680 is a `hidden beast` number, since 2 + 12 + 8 + 636 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 613267 + ... + 613613.

Almost surely, 2^212863680 is an apocalyptic number.

212863680 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 212863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381853440).

212863680 is an abundant number, since it is smaller than the sum of its proper divisors (550843200).

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

212863680 is a wasteful number, since it uses less digits than its factorization.

212863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 212863680 is about 14589.8485256016. The cubic root of 212863680 is about 597.0818301508.

The spelling of 212863680 in words is "two hundred twelve million, eight hundred sixty-three thousand, six hundred eighty".