211896000 has 336 divisors, whose sum is σ = 793272480. Its totient is φ = 55987200.

The previous prime is 211895993. The next prime is 211896001. The reversal of 211896000 is 698112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211896001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1943946 + ... + 1944054.

It is an arithmetic number, because the mean of its divisors is an integer number (2360930).

Almost surely, 2^211896000 is an apocalyptic number.

211896000 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 211896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396636240).

211896000 is an abundant number, since it is smaller than the sum of its proper divisors (581376480).

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

211896000 is an equidigital number, since it uses as much as digits as its factorization.

211896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 211896000 is about 14556.6479657921. The cubic root of 211896000 is about 596.1756760330.

The spelling of 211896000 in words is "two hundred eleven million, eight hundred ninety-six thousand".