211068000 has 576 divisors, whose sum is σ = 901502784. Its totient is φ = 46080000.

The previous prime is 211067993. The next prime is 211068043. The reversal of 211068000 is 860112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5147980 + ... + 5148020.

It is an arithmetic number, because the mean of its divisors is an integer number (1565109).

Almost surely, 2^211068000 is an apocalyptic number.

211068000 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 211068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450751392).

211068000 is an abundant number, since it is smaller than the sum of its proper divisors (690434784).

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

211068000 is a wasteful number, since it uses less digits than its factorization.

211068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211068000 is about 14528.1795143094. The cubic root of 211068000 is about 595.3981281958.

The spelling of 211068000 in words is "two hundred eleven million, sixty-eight thousand".