211044096 has 144 divisors (see below), whose sum is σ = 657350400. Its totient is φ = 66604032.

The previous prime is 211044089. The next prime is 211044101. The reversal of 211044096 is 690440112.

211044096 is a `hidden beast` number, since 211 + 0 + 440 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211044096² = 89079220912914432, which contains 22 as substring.

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

It is a congruent number.

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, 130525 + ... + 132131.

Almost surely, 2^211044096 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 211044096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328675200).

211044096 is an abundant number, since it is smaller than the sum of its proper divisors (446306304).

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

211044096 is a wasteful number, since it uses less digits than its factorization.

211044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 211044096 is about 14527.3568139562. The cubic root of 211044096 is about 595.3756505517.

It can be divided in two parts, 21104 and 4096, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 211044096 in words is "two hundred eleven million, forty-four thousand, ninety-six".