87661880 has 64 divisors (see below), whose sum is σ = 206102880. Its totient is φ = 33523200.

The previous prime is 87661837. The next prime is 87661919. The reversal of 87661880 is 8816678.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89795 + ... + 90765.

Almost surely, 2^87661880 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 87661880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103051440).

87661880 is an abundant number, since it is smaller than the sum of its proper divisors (118441000).

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

87661880 is a wasteful number, since it uses less digits than its factorization.

87661880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 44.

The square root of 87661880 is about 9362.7923185340. The cubic root of 87661880 is about 444.2256110659.

The spelling of 87661880 in words is "eighty-seven million, six hundred sixty-one thousand, eight hundred eighty".