211465632 has 96 divisors (see below), whose sum is σ = 654925824. Its totient is φ = 58464000.

The previous prime is 211465621. The next prime is 211465633. The reversal of 211465632 is 236564112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211465632.

It is not an unprimeable number, because it can be changed into a prime (211465633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15757 + ... + 25907.

It is an arithmetic number, because the mean of its divisors is an integer number (6822144).

Almost surely, 2^211465632 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 211465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327462912).

211465632 is an abundant number, since it is smaller than the sum of its proper divisors (443460192).

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

211465632 is a wasteful number, since it uses less digits than its factorization.

211465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10202 (or 10194 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 211465632 is about 14541.8579280641. The cubic root of 211465632 is about 595.7717847628.

The spelling of 211465632 in words is "two hundred eleven million, four hundred sixty-five thousand, six hundred thirty-two".