211260816 has 90 divisors (see below), whose sum is σ = 640288818. Its totient is φ = 64995840.

The previous prime is 211260781. The next prime is 211260821. The reversal of 211260816 is 618062112.

It can be written as a sum of positive squares in 3 ways, for example, as 6656400 + 204604416 = 2580^2 + 14304^2 .

It is a super-2 number, since 2×211260816² = 89262264753971712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211260816.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19996 + ... + 28676.

Almost surely, 2^211260816 is an apocalyptic number.

211260816 is a gapful number since it is divisible by the number (26) 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 211260816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320144409).

211260816 is an abundant number, since it is smaller than the sum of its proper divisors (429028002).

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

211260816 is a wasteful number, since it uses less digits than its factorization.

211260816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 211260816 is about 14534.8139306976. The cubic root of 211260816 is about 595.5793768060.

The spelling of 211260816 in words is "two hundred eleven million, two hundred sixty thousand, eight hundred sixteen".