212495616 has 144 divisors (see below), whose sum is σ = 638709120. Its totient is φ = 69672960.

The previous prime is 212495611. The next prime is 212495651. The reversal of 212495616 is 616594212.

212495616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212495611) 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 15 ways as a sum of consecutive naturals, for example, 490536 + ... + 490968.

It is an arithmetic number, because the mean of its divisors is an integer number (4435480).

Almost surely, 2^212495616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212495616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

212495616 is an abundant number, since it is smaller than the sum of its proper divisors (426213504).

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

212495616 is an equidigital number, since it uses as much as digits as its factorization.

212495616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 509 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 212495616 is about 14577.2293663782. The cubic root of 212495616 is about 596.7374922254.

The spelling of 212495616 in words is "two hundred twelve million, four hundred ninety-five thousand, six hundred sixteen".