212627632 has 80 divisors (see below), whose sum is σ = 499452160. Its totient is φ = 85660416.

The previous prime is 212627627. The next prime is 212627677. The reversal of 212627632 is 236726212.

It is a junction number, because it is equal to n+sod(n) for n = 212627594 and 212627603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346558 + ... + 347170.

It is an arithmetic number, because the mean of its divisors is an integer number (6243152).

Almost surely, 2^212627632 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 212627632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249726080).

212627632 is an abundant number, since it is smaller than the sum of its proper divisors (286824528).

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

212627632 is a wasteful number, since it uses less digits than its factorization.

212627632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 804 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 212627632 is about 14581.7568214533. The cubic root of 212627632 is about 596.8610439323.

The spelling of 212627632 in words is "two hundred twelve million, six hundred twenty-seven thousand, six hundred thirty-two".