87556080 has 80 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 23101440.

The previous prime is 87556061. The next prime is 87556087. The reversal of 87556080 is 8065578.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87556087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21400 + ... + 25160.

Almost surely, 2^87556080 is an apocalyptic number.

87556080 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 87556080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

87556080 is an abundant number, since it is smaller than the sum of its proper divisors (186738864).

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

87556080 is a wasteful number, since it uses less digits than its factorization.

87556080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 87556080 is about 9357.1405888765. The cubic root of 87556080 is about 444.0468256758.

The spelling of 87556080 in words is "eighty-seven million, five hundred fifty-six thousand, eighty".