87630 has 32 divisors (see below), whose sum is σ = 221184. Its totient is φ = 22176.

The previous prime is 87629. The next prime is 87631. The reversal of 87630 is 3678.

It is an interprime number because it is at equal distance from previous prime (87629) and next prime (87631).

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

It is a Curzon number.

It is a nialpdrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 87630.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87630.

It is not an unprimeable number, because it can be changed into a prime (87631) 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, 627 + ... + 753.

It is an arithmetic number, because the mean of its divisors is an integer number (6912).

2⁸⁷⁶³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110592).

87630 is an abundant number, since it is smaller than the sum of its proper divisors (133554).

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

87630 is a wasteful number, since it uses less digits than its factorization.

87630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 87630 is about 296.0236477040. The cubic root of 87630 is about 44.4171754020.

It can be divided in two parts, 87 and 630, that added together give a palindrome (717).

The spelling of 87630 in words is "eighty-seven thousand, six hundred thirty".