87055936 has 56 divisors (see below), whose sum is σ = 194584320. Its totient is φ = 38284800.

The previous prime is 87055907. The next prime is 87055939. The reversal of 87055936 is 63955078.

It is a junction number, because it is equal to n+sod(n) for n = 87055892 and 87055901.

It is not an unprimeable number, because it can be changed into a prime (87055939) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19830 + ... + 23818.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2^87055936 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 87055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

87055936 is an abundant number, since it is smaller than the sum of its proper divisors (107528384).

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

87055936 is a wasteful number, since it uses less digits than its factorization.

87055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The square root of 87055936 is about 9330.3770556178. The cubic root of 87055936 is about 443.1997054567.

It can be divided in two parts, 8705 and 5936, that added together give a palindrome (14641).

The spelling of 87055936 in words is "eighty-seven million, fifty-five thousand, nine hundred thirty-six".