83215008 has 72 divisors (see below), whose sum is σ = 238830228. Its totient is φ = 27482112.

The previous prime is 83215001. The next prime is 83215021. The reversal of 83215008 is 80051238.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72795024 + 10419984 = 8532^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (83215001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31266 + ... + 33822.

Almost surely, 2^83215008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119415114).

83215008 is an abundant number, since it is smaller than the sum of its proper divisors (155615220).

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

83215008 is a wasteful number, since it uses less digits than its factorization.

83215008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2675 counting only the distinct ones).

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

The square root of 83215008 is about 9122.2260441188. The cubic root of 83215008 is about 436.5834010443.

The spelling of 83215008 in words is "eighty-three million, two hundred fifteen thousand, eight".