212271648 has 96 divisors (see below), whose sum is σ = 606916800. Its totient is φ = 64705536.

The previous prime is 212271617. The next prime is 212271649. The reversal of 212271648 is 846172212.

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

It is not an unprimeable number, because it can be changed into a prime (212271649) 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, 50890 + ... + 54902.

It is an arithmetic number, because the mean of its divisors is an integer number (6322050).

Almost surely, 2^212271648 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 212271648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303458400).

212271648 is an abundant number, since it is smaller than the sum of its proper divisors (394645152).

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

212271648 is a wasteful number, since it uses less digits than its factorization.

212271648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4066 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 212271648 is about 14569.5452228270. The cubic root of 212271648 is about 596.5277669804.

The spelling of 212271648 in words is "two hundred twelve million, two hundred seventy-one thousand, six hundred forty-eight".