215760240 has 320 divisors, whose sum is σ = 801377280. Its totient is φ = 53222400.

The previous prime is 215760239. The next prime is 215760247. The reversal of 215760240 is 42067512.

215760240 is a `hidden beast` number, since 2 + 1 + 57 + 602 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215760247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2136190 + ... + 2136290.

It is an arithmetic number, because the mean of its divisors is an integer number (2504304).

Almost surely, 2^215760240 is an apocalyptic number.

215760240 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 215760240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400688640).

215760240 is an abundant number, since it is smaller than the sum of its proper divisors (585617040).

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

215760240 is a wasteful number, since it uses less digits than its factorization.

215760240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 215760240 is about 14688.7793910862. The cubic root of 215760240 is about 599.7779178093. Note that the first 3 decimals are identical.

It can be divided in two parts, 215760 and 240, that added together give a cube (216000 = 60³).

The spelling of 215760240 in words is "two hundred fifteen million, seven hundred sixty thousand, two hundred forty".