212624064 has 84 divisors (see below), whose sum is σ = 611596440. Its totient is φ = 70625280.

The previous prime is 212624063. The next prime is 212624129. The reversal of 212624064 is 460426212.

It is not an unprimeable number, because it can be changed into a prime (212624063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240904 + ... + 241784.

It is an arithmetic number, because the mean of its divisors is an integer number (7280910).

Almost surely, 2^212624064 is an apocalyptic number.

212624064 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 212624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305798220).

212624064 is an abundant number, since it is smaller than the sum of its proper divisors (398972376).

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

212624064 is a wasteful number, since it uses less digits than its factorization.

212624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 212624064 is about 14581.6344762856. The cubic root of 212624064 is about 596.8577053695.

The spelling of 212624064 in words is "two hundred twelve million, six hundred twenty-four thousand, sixty-four".