211273920 has 672 divisors, whose sum is σ = 931956480. Its totient is φ = 44789760.

The previous prime is 211273891. The next prime is 211273963. The reversal of 211273920 is 29372112.

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

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, 11119671 + ... + 11119689.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^211273920 is an apocalyptic number.

211273920 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 211273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

211273920 is an abundant number, since it is smaller than the sum of its proper divisors (720682560).

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

211273920 is a wasteful number, since it uses less digits than its factorization.

211273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 211273920 is about 14535.2647034720. The cubic root of 211273920 is about 595.5916906699.

The spelling of 211273920 in words is "two hundred eleven million, two hundred seventy-three thousand, nine hundred twenty".