215305680 has 160 divisors (see below), whose sum is σ = 714489984. Its totient is φ = 53444608.

The previous prime is 215305679. The next prime is 215305681. The reversal of 215305680 is 86503512.

215305680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (215305679) and next prime (215305681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215305681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460807 + ... + 461273.

Almost surely, 2^215305680 is an apocalyptic number.

215305680 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 215305680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357244992).

215305680 is an abundant number, since it is smaller than the sum of its proper divisors (499184304).

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

215305680 is a wasteful number, since it uses less digits than its factorization.

215305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 215305680 is about 14673.2981977468. The cubic root of 215305680 is about 599.3564210348.

The spelling of 215305680 in words is "two hundred fifteen million, three hundred five thousand, six hundred eighty".