87512568 has 128 divisors (see below), whose sum is σ = 263450880. Its totient is φ = 23869440.

The previous prime is 87512567. The next prime is 87512591. The reversal of 87512568 is 86521578.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87512567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147280 + ... + 147872.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 2^87512568 is an apocalyptic number.

87512568 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 87512568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

87512568 is an abundant number, since it is smaller than the sum of its proper divisors (175938312).

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

87512568 is a wasteful number, since it uses less digits than its factorization.

87512568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 665 counting only the distinct ones).

The product of its digits is 134400, while the sum is 42.

The square root of 87512568 is about 9354.8152306713. The cubic root of 87512568 is about 443.9732554299.

The spelling of 87512568 in words is "eighty-seven million, five hundred twelve thousand, five hundred sixty-eight".