212642304 has 80 divisors (see below), whose sum is σ = 647452608. Its totient is φ = 60751872.

The previous prime is 212642303. The next prime is 212642317. The reversal of 212642304 is 403246212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212642303) 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, 864 + ... + 20640.

Almost surely, 2^212642304 is an apocalyptic number.

212642304 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 212642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323726304).

212642304 is an abundant number, since it is smaller than the sum of its proper divisors (434810304).

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

212642304 is an equidigital number, since it uses as much as digits as its factorization.

212642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19805 (or 19789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 212642304 is about 14582.2599071612. The cubic root of 212642304 is about 596.8747720694.

Adding to 212642304 its reverse (403246212), we get a palindrome (615888516).

The spelling of 212642304 in words is "two hundred twelve million, six hundred forty-two thousand, three hundred four".