211489920 has 128 divisors (see below), whose sum is σ = 749088000. Its totient is φ = 56392704.

The previous prime is 211489909. The next prime is 211489951. The reversal of 211489920 is 29984112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11161 + ... + 23399.

It is an arithmetic number, because the mean of its divisors is an integer number (5852250).

Almost surely, 2^211489920 is an apocalyptic number.

211489920 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 211489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374544000).

211489920 is an abundant number, since it is smaller than the sum of its proper divisors (537598080).

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

211489920 is a wasteful number, since it uses less digits than its factorization.

211489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12267 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 211489920 is about 14542.6930105809. The cubic root of 211489920 is about 595.7945931202.

The spelling of 211489920 in words is "two hundred eleven million, four hundred eighty-nine thousand, nine hundred twenty".