87856 has 30 divisors (see below), whose sum is σ = 190340. Its totient is φ = 39168.

The previous prime is 87853. The next prime is 87869. The reversal of 87856 is 65878.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (87853) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4615 + ... + 4633.

2⁸⁷⁸⁵⁶ 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 87856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95170).

87856 is an abundant number, since it is smaller than the sum of its proper divisors (102484).

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

87856 is a wasteful number, since it uses less digits than its factorization.

87856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The square root of 87856 is about 296.4051281608. The cubic root of 87856 is about 44.4553269648.

The spelling of 87856 in words is "eighty-seven thousand, eight hundred fifty-six".