211466640 has 160 divisors (see below), whose sum is σ = 817376256. Its totient is φ = 43937280.

The previous prime is 211466639. The next prime is 211466641. The reversal of 211466640 is 46664112.

It is an interprime number because it is at equal distance from previous prime (211466639) and next prime (211466641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211466598 and 211466607.

It is not an unprimeable number, because it can be changed into a prime (211466641) 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 31 ways as a sum of consecutive naturals, for example, 12759 + ... + 24201.

Almost surely, 2^211466640 is an apocalyptic number.

211466640 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 211466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408688128).

211466640 is an abundant number, since it is smaller than the sum of its proper divisors (605909616).

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

211466640 is a wasteful number, since it uses less digits than its factorization.

211466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11477 (or 11471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 211466640 is about 14541.8925865927. The cubic root of 211466640 is about 595.7727313895.

The spelling of 211466640 in words is "two hundred eleven million, four hundred sixty-six thousand, six hundred forty".