87952 has 20 divisors (see below), whose sum is σ = 178560. Its totient is φ = 41888.

The previous prime is 87943. The next prime is 87959. The reversal of 87952 is 25978.

It is not an unprimeable number, because it can be changed into a prime (87959) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 249 + ... + 487.

It is an arithmetic number, because the mean of its divisors is an integer number (8928).

2⁸⁷⁹⁵² 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 87952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

87952 is an abundant number, since it is smaller than the sum of its proper divisors (90608).

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

87952 is a wasteful number, since it uses less digits than its factorization.

87952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 87952 is about 296.5670244650. The cubic root of 87952 is about 44.4715131402.

The spelling of 87952 in words is "eighty-seven thousand, nine hundred fifty-two".