212905632 has 96 divisors (see below), whose sum is σ = 575769600. Its totient is φ = 68859648.

The previous prime is 212905619. The next prime is 212905633. The reversal of 212905632 is 236509212.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 212905632.

It is not an unprimeable number, because it can be changed into a prime (212905633) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 507919 + ... + 508337.

It is an arithmetic number, because the mean of its divisors is an integer number (5997600).

Almost surely, 2^212905632 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 212905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287884800).

212905632 is an abundant number, since it is smaller than the sum of its proper divisors (362863968).

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

212905632 is a wasteful number, since it uses less digits than its factorization.

212905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 212905632 is about 14591.2861667503. The cubic root of 212905632 is about 597.1210526421.

The spelling of 212905632 in words is "two hundred twelve million, nine hundred five thousand, six hundred thirty-two".