215294320 has 80 divisors (see below), whose sum is σ = 531216000. Its totient is φ = 80918784.

The previous prime is 215294269. The next prime is 215294323. The reversal of 215294320 is 23492512.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215294323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210771 + ... + 211789.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2^215294320 is an apocalyptic number.

215294320 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 215294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265608000).

215294320 is an abundant number, since it is smaller than the sum of its proper divisors (315921680).

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

215294320 is a wasteful number, since it uses less digits than its factorization.

215294320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 215294320 is about 14672.9110949395. The cubic root of 215294320 is about 599.3458797295.

The spelling of 215294320 in words is "two hundred fifteen million, two hundred ninety-four thousand, three hundred twenty".