215340000 has 240 divisors, whose sum is σ = 732927888. Its totient is φ = 55296000.

The previous prime is 215339983. The next prime is 215340019. The reversal of 215340000 is 43512.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2219952 + ... + 2220048.

Almost surely, 2^215340000 is an apocalyptic number.

215340000 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 215340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366463944).

215340000 is an abundant number, since it is smaller than the sum of its proper divisors (517587888).

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

215340000 is an equidigital number, since it uses as much as digits as its factorization.

215340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 215340000 is about 14674.4676223705. The cubic root of 215340000 is about 599.3882654022.

Adding to 215340000 its reverse (43512), we get a palindrome (215383512).

The spelling of 215340000 in words is "two hundred fifteen million, three hundred forty thousand".