211265160 has 64 divisors (see below), whose sum is σ = 636137280. Its totient is φ = 56129280.

The previous prime is 211265147. The next prime is 211265167. The reversal of 211265160 is 61562112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 211265160.

It is not an unprimeable number, because it can be changed into a prime (211265167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 30850 + ... + 37070.

It is an arithmetic number, because the mean of its divisors is an integer number (9939645).

Almost surely, 2^211265160 is an apocalyptic number.

211265160 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 211265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318068640).

211265160 is an abundant number, since it is smaller than the sum of its proper divisors (424872120).

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

211265160 is a wasteful number, since it uses less digits than its factorization.

211265160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 6514 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 211265160 is about 14534.9633642469. The cubic root of 211265160 is about 595.5834589308.

The spelling of 211265160 in words is "two hundred eleven million, two hundred sixty-five thousand, one hundred sixty".