87642 has 20 divisors (see below), whose sum is σ = 196746. Its totient is φ = 29160.

The previous prime is 87641. The next prime is 87643. The reversal of 87642 is 24678.

It is an interprime number because it is at equal distance from previous prime (87641) and next prime (87643).

It can be written as a sum of positive squares in only one way, i.e., 77841 + 9801 = 279^2 + 99^2 .

It is a super-2 number, since 2×87642² = 15362240328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (87641) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 109 + ... + 432.

2⁸⁷⁶⁴² is an apocalyptic number.

87642 is an abundant number, since it is smaller than the sum of its proper divisors (109104).

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

87642 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 87642 = (42876)₁₂.

87642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 87642 is about 296.0439156612. The cubic root of 87642 is about 44.4192027967.

It can be divided in two parts, 87 and 642, that added together give a 6-th power (729 = 3⁶).

The spelling of 87642 in words is "eighty-seven thousand, six hundred forty-two".