211864032 has 96 divisors (see below), whose sum is σ = 620524800. Its totient is φ = 70326144.

The previous prime is 211864027. The next prime is 211864043. The reversal of 211864032 is 230468112.

211864032 is a `hidden beast` number, since 2 + 1 + 18 + 640 + 3 + 2 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211863987 and 211864005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327133 + ... + 327779.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2^211864032 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 211864032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310262400).

211864032 is an abundant number, since it is smaller than the sum of its proper divisors (408660768).

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

211864032 is a wasteful number, since it uses less digits than its factorization.

211864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 211864032 is about 14555.5498693797. The cubic root of 211864032 is about 596.1456935533.

The spelling of 211864032 in words is "two hundred eleven million, eight hundred sixty-four thousand, thirty-two".