215008560 has 480 divisors, whose sum is σ = 871372800. Its totient is φ = 48522240.

The previous prime is 215008553. The next prime is 215008583. The reversal of 215008560 is 65800512.

215008560 is a `hidden beast` number, since 21 + 500 + 85 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6935745 + ... + 6935775.

It is an arithmetic number, because the mean of its divisors is an integer number (1815360).

Almost surely, 2^215008560 is an apocalyptic number.

215008560 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 215008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435686400).

215008560 is an abundant number, since it is smaller than the sum of its proper divisors (656364240).

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

215008560 is a wasteful number, since it uses less digits than its factorization.

215008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 215008560 is about 14663.1701892872. The cubic root of 215008560 is about 599.0805918674.

The spelling of 215008560 in words is "two hundred fifteen million, eight thousand, five hundred sixty".