212745632 has 48 divisors (see below), whose sum is σ = 458136000. Its totient is φ = 96445440.

The previous prime is 212745587. The next prime is 212745707. The reversal of 212745632 is 236547212.

212745632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210344 + ... + 211352.

It is an arithmetic number, because the mean of its divisors is an integer number (9544500).

Almost surely, 2^212745632 is an apocalyptic number.

212745632 is a gapful number since it is divisible by the number (22) 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 212745632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229068000).

212745632 is an abundant number, since it is smaller than the sum of its proper divisors (245390368).

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

212745632 is a wasteful number, since it uses less digits than its factorization.

212745632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1621 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 212745632 is about 14585.8024119347. The cubic root of 212745632 is about 596.9714350074.

The spelling of 212745632 in words is "two hundred twelve million, seven hundred forty-five thousand, six hundred thirty-two".