211068480 has 224 divisors, whose sum is σ = 782726400. Its totient is φ = 48168960.

The previous prime is 211068457. The next prime is 211068499. The reversal of 211068480 is 84860112.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 328960 + ... + 329600.

Almost surely, 2^211068480 is an apocalyptic number.

211068480 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 211068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391363200).

211068480 is an abundant number, since it is smaller than the sum of its proper divisors (571657920).

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

211068480 is an equidigital number, since it uses as much as digits as its factorization.

211068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 211068480 is about 14528.1960339197. The cubic root of 211068480 is about 595.3985795368.

The spelling of 211068480 in words is "two hundred eleven million, sixty-eight thousand, four hundred eighty".