212786304 has 64 divisors (see below), whose sum is σ = 569160000. Its totient is φ = 70433792.

The previous prime is 212786303. The next prime is 212786309. The reversal of 212786304 is 403687212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×212786304² = 90556022339960832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212786303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55357 + ... + 59075.

It is an arithmetic number, because the mean of its divisors is an integer number (8893125).

Almost surely, 2^212786304 is an apocalyptic number.

212786304 is a gapful number since it is divisible by the number (24) 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 212786304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580000).

212786304 is an abundant number, since it is smaller than the sum of its proper divisors (356373696).

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

212786304 is a wasteful number, since it uses less digits than its factorization.

212786304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 212786304 is about 14587.1965778213. The cubic root of 212786304 is about 597.0094749190.

The spelling of 212786304 in words is "two hundred twelve million, seven hundred eighty-six thousand, three hundred four".