215083008 has 144 divisors (see below), whose sum is σ = 710367840. Its totient is φ = 61415424.

The previous prime is 215082979. The next prime is 215083019. The reversal of 215083008 is 800380512.

It is a happy number.

215083008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128191 + ... + 129857.

It is an arithmetic number, because the mean of its divisors is an integer number (4933110).

Almost surely, 2^215083008 is an apocalyptic number.

215083008 is a gapful number since it is divisible by the number (28) 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 215083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355183920).

215083008 is an abundant number, since it is smaller than the sum of its proper divisors (495284832).

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

215083008 is a wasteful number, since it uses less digits than its factorization.

215083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 215083008 is about 14665.7085747672. The cubic root of 215083008 is about 599.1497289678.

It can be divided in two parts, 2150 and 83008, that added together give a palindrome (85158).

The spelling of 215083008 in words is "two hundred fifteen million, eighty-three thousand, eight".