215040000 has 300 divisors, whose sum is σ = 818912864. Its totient is φ = 49152000.

The previous prime is 215039999. The next prime is 215040013. The reversal of 215040000 is 40512.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719997 + ... + 30720003.

Almost surely, 2^215040000 is an apocalyptic number.

215040000 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 215040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409456432).

215040000 is an abundant number, since it is smaller than the sum of its proper divisors (603872864).

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

215040000 is an frugal number, since it uses more digits than its factorization.

215040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 215040000 is about 14664.2422238587. The cubic root of 215040000 is about 599.1097909775.

Adding to 215040000 its reverse (40512), we get a palindrome (215080512).

The spelling of 215040000 in words is "two hundred fifteen million, forty thousand".