211834960 has 80 divisors (see below), whose sum is σ = 526640400. Its totient is φ = 78962688.

The previous prime is 211834951. The next prime is 211834967. The reversal of 211834960 is 69438112.

It can be written as a sum of positive squares in 8 ways, for example, as 1468944 + 210366016 = 1212^2 + 14504^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211834967) 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, 147526 + ... + 148954.

It is an arithmetic number, because the mean of its divisors is an integer number (6583005).

Almost surely, 2^211834960 is an apocalyptic number.

211834960 is a gapful number since it is divisible by the number (20) 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 211834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263320200).

211834960 is an abundant number, since it is smaller than the sum of its proper divisors (314805440).

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

211834960 is a wasteful number, since it uses less digits than its factorization.

211834960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 211834960 is about 14554.5511782397. The cubic root of 211834960 is about 596.1184245856.

The spelling of 211834960 in words is "two hundred eleven million, eight hundred thirty-four thousand, nine hundred sixty".