211771040 has 192 divisors, whose sum is σ = 586395936. Its totient is φ = 71565312.

The previous prime is 211771039. The next prime is 211771069. The reversal of 211771040 is 40177112.

It can be written as a sum of positive squares in 16 ways, for example, as 824464 + 210946576 = 908^2 + 14524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211770997 and 211771015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1874024 + ... + 1874136.

Almost surely, 2^211771040 is an apocalyptic number.

211771040 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 211771040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293197968).

211771040 is an abundant number, since it is smaller than the sum of its proper divisors (374624896).

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

211771040 is a wasteful number, since it uses less digits than its factorization.

211771040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 23.

The square root of 211771040 is about 14552.3551358534. The cubic root of 211771040 is about 596.0584601005.

The spelling of 211771040 in words is "two hundred eleven million, seven hundred seventy-one thousand, forty".