215520000 has 180 divisors, whose sum is σ = 718363800. Its totient is φ = 57344000.

The previous prime is 215519989. The next prime is 215520037. The reversal of 215520000 is 25512.

215520000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 479776 + ... + 480224.

It is an arithmetic number, because the mean of its divisors is an integer number (3990910).

Almost surely, 2^215520000 is an apocalyptic number.

215520000 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 215520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359181900).

215520000 is an abundant number, since it is smaller than the sum of its proper divisors (502843800).

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

215520000 is an frugal number, since it uses more digits than its factorization.

215520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 215520000 is about 14680.5994428021. The cubic root of 215520000 is about 599.5552259304. Note that the first 3 decimals are identical.

Adding to 215520000 its reverse (25512), we get a palindrome (215545512).

It can be divided in two parts, 2155 and 20000, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 215520000 in words is "two hundred fifteen million, five hundred twenty thousand".