87217560 has 128 divisors (see below), whose sum is σ = 294609600. Its totient is φ = 23234688.

The previous prime is 87217513. The next prime is 87217567. The reversal of 87217560 is 6571278.

87217560 is a `hidden beast` number, since 87 + 2 + 17 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87217567) 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 31 ways as a sum of consecutive naturals, for example, 86982 + ... + 87978.

Almost surely, 2^87217560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87217560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147304800).

87217560 is an abundant number, since it is smaller than the sum of its proper divisors (207392040).

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

87217560 is an equidigital number, since it uses as much as digits as its factorization.

87217560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 87217560 is about 9339.0342113090. The cubic root of 87217560 is about 443.4738105466.

The spelling of 87217560 in words is "eighty-seven million, two hundred seventeen thousand, five hundred sixty".