211921920 has 440 divisors, whose sum is σ = 879784224. Its totient is φ = 47775744.

The previous prime is 211921901. The next prime is 211921939. The reversal of 211921920 is 29129112.

It is an interprime number because it is at equal distance from previous prime (211921901) and next prime (211921939).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 2903004 + ... + 2903076.

Almost surely, 2^211921920 is an apocalyptic number.

211921920 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 211921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439892112).

211921920 is an abundant number, since it is smaller than the sum of its proper divisors (667862304).

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

211921920 is an equidigital number, since it uses as much as digits as its factorization.

211921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 211921920 is about 14557.5382534273. The cubic root of 211921920 is about 596.1999839379.

The spelling of 211921920 in words is "two hundred eleven million, nine hundred twenty-one thousand, nine hundred twenty".