215398080 has 168 divisors, whose sum is σ = 766724400. Its totient is φ = 55437312.

The previous prime is 215398069. The next prime is 215398081. The reversal of 215398080 is 80893512.

215398080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (215398081) 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, 82231 + ... + 84809.

Almost surely, 2^215398080 is an apocalyptic number.

215398080 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 215398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383362200).

215398080 is an abundant number, since it is smaller than the sum of its proper divisors (551326320).

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

215398080 is a wasteful number, since it uses less digits than its factorization.

215398080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631 (or 2618 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 215398080 is about 14676.4464363823. The cubic root of 215398080 is about 599.4421481630.

The spelling of 215398080 in words is "two hundred fifteen million, three hundred ninety-eight thousand, eighty".