215430720 has 112 divisors (see below), whose sum is σ = 687019200. Its totient is φ = 57194496.

The previous prime is 215430713. The next prime is 215430739. The reversal of 215430720 is 27034512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334719 + ... + 335361.

It is an arithmetic number, because the mean of its divisors is an integer number (6134100).

Almost surely, 2^215430720 is an apocalyptic number.

215430720 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 215430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343509600).

215430720 is an abundant number, since it is smaller than the sum of its proper divisors (471588480).

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

215430720 is a wasteful number, since it uses less digits than its factorization.

215430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 215430720 is about 14677.5583800576. The cubic root of 215430720 is about 599.4724251328.

The spelling of 215430720 in words is "two hundred fifteen million, four hundred thirty thousand, seven hundred twenty".