87531520 has 56 divisors (see below), whose sum is σ = 210161124. Its totient is φ = 34996224.

The previous prime is 87531517. The next prime is 87531553. The reversal of 87531520 is 2513578.

It can be written as a sum of positive squares in 2 ways, for example, as 76877824 + 10653696 = 8768^2 + 3264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39892 + ... + 42028.

Almost surely, 2^87531520 is an apocalyptic number.

87531520 is a gapful number since it is divisible by the number (80) 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 87531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105080562).

87531520 is an abundant number, since it is smaller than the sum of its proper divisors (122629604).

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

87531520 is an equidigital number, since it uses as much as digits as its factorization.

87531520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 87531520 is about 9355.8281301016. The cubic root of 87531520 is about 444.0053025366.

The spelling of 87531520 in words is "eighty-seven million, five hundred thirty-one thousand, five hundred twenty".