215718048 has 144 divisors (see below), whose sum is σ = 755104896. Its totient is φ = 56885760.

The previous prime is 215718047. The next prime is 215718053. The reversal of 215718048 is 840817512.

215718048 is a `hidden beast` number, since 2 + 1 + 571 + 80 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (215718047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22093 + ... + 30323.

It is an arithmetic number, because the mean of its divisors is an integer number (5243784).

Almost surely, 2^215718048 is an apocalyptic number.

215718048 is a gapful number since it is divisible by the number (28) 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 215718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377552448).

215718048 is an abundant number, since it is smaller than the sum of its proper divisors (539386848).

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

215718048 is a wasteful number, since it uses less digits than its factorization.

215718048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8267 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 215718048 is about 14687.3431225665. The cubic root of 215718048 is about 599.7388196579.

The spelling of 215718048 in words is "two hundred fifteen million, seven hundred eighteen thousand, forty-eight".