215086080 has 352 divisors, whose sum is σ = 801768960. Its totient is φ = 48660480.

The previous prime is 215086073. The next prime is 215086139. The reversal of 215086080 is 80680512.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3210207 + ... + 3210273.

Almost surely, 2^215086080 is an apocalyptic number.

215086080 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 215086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400884480).

215086080 is an abundant number, since it is smaller than the sum of its proper divisors (586682880).

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

215086080 is a wasteful number, since it uses less digits than its factorization.

215086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 215086080 is about 14665.8133085076. The cubic root of 215086080 is about 599.1525814777.

The spelling of 215086080 in words is "two hundred fifteen million, eighty-six thousand, eighty".