87661056 has 160 divisors (see below), whose sum is σ = 276553728. Its totient is φ = 24145920.

The previous prime is 87661051. The next prime is 87661081. The reversal of 87661056 is 65016678.

It is not an unprimeable number, because it can be changed into a prime (87661051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 333181 + ... + 333443.

Almost surely, 2^87661056 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 87661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138276864).

87661056 is an abundant number, since it is smaller than the sum of its proper divisors (188892672).

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

87661056 is a wasteful number, since it uses less digits than its factorization.

87661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 87661056 is about 9362.7483144641. The cubic root of 87661056 is about 444.2242191912.

The spelling of 87661056 in words is "eighty-seven million, six hundred sixty-one thousand, fifty-six".