87218208 has 480 divisors, whose sum is σ = 351267840. Its totient is φ = 20528640.

The previous prime is 87218207. The next prime is 87218249. The reversal of 87218208 is 80281278.

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 (87218207) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3792085 + ... + 3792107.

It is an arithmetic number, because the mean of its divisors is an integer number (731808).

Almost surely, 2^87218208 is an apocalyptic number.

87218208 is a gapful number since it is divisible by the number (88) 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 87218208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175633920).

87218208 is an abundant number, since it is smaller than the sum of its proper divisors (264049632).

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

87218208 is a wasteful number, since it uses less digits than its factorization.

87218208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 87218208 is about 9339.0689043394. The cubic root of 87218208 is about 443.4749088358.

The spelling of 87218208 in words is "eighty-seven million, two hundred eighteen thousand, two hundred eight".