211640000 has 280 divisors, whose sum is σ = 633209808. Its totient is φ = 69120000.

The previous prime is 211639969. The next prime is 211640003. The reversal of 211640000 is 46112.

211640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211640003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5719982 + ... + 5720018.

Almost surely, 2^211640000 is an apocalyptic number.

211640000 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 211640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316604904).

211640000 is an abundant number, since it is smaller than the sum of its proper divisors (421569808).

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

211640000 is a wasteful number, since it uses less digits than its factorization.

211640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 211640000 is about 14547.8520751347. The cubic root of 211640000 is about 595.9354914191.

Adding to 211640000 its reverse (46112), we get a palindrome (211686112).

It can be divided in two parts, 2116 and 40000, that multiplied together give a square (84640000 = 9200²).

The spelling of 211640000 in words is "two hundred eleven million, six hundred forty thousand".