87509680 has 20 divisors (see below), whose sum is σ = 203460192. Its totient is φ = 35003840.

The previous prime is 87509671. The next prime is 87509689. The reversal of 87509680 is 8690578.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87509671) and next prime (87509689).

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (87509689) 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 3 ways as a sum of consecutive naturals, for example, 546856 + ... + 547015.

Almost surely, 2^87509680 is an apocalyptic number.

87509680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87509680 is an abundant number, since it is smaller than the sum of its proper divisors (115950512).

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

87509680 is a wasteful number, since it uses less digits than its factorization.

87509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093884 (or 1093878 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The square root of 87509680 is about 9354.6608703897. The cubic root of 87509680 is about 443.9683715262.

The spelling of 87509680 in words is "eighty-seven million, five hundred nine thousand, six hundred eighty".