221086080 has 192 divisors, whose sum is σ = 771891120. Its totient is φ = 58306560.

The previous prime is 221086043. The next prime is 221086081. The reversal of 221086080 is 80680122.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221086081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 754414 + ... + 754706.

Almost surely, 2^221086080 is an apocalyptic number.

221086080 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 221086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385945560).

221086080 is an abundant number, since it is smaller than the sum of its proper divisors (550805040).

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

221086080 is a wasteful number, since it uses less digits than its factorization.

221086080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 221086080 is about 14868.9636491586. The cubic root of 221086080 is about 604.6728463689.

The spelling of 221086080 in words is "two hundred twenty-one million, eighty-six thousand, eighty".