87870 has 32 divisors (see below), whose sum is σ = 220320. Its totient is φ = 22400.

The previous prime is 87869. The next prime is 87877. The reversal of 87870 is 7878.

It is a happy number.

It is a super-2 number, since 2×87870^{2} = 15442273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (6885).

2^{87870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110160).

87870 is an abundant number, since it is smaller than the sum of its proper divisors (132450).

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

87870 is a wasteful number, since it uses less digits than its factorization.

87870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140.

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 87870 is about 296.4287435456. The cubic root of 87870 is about 44.4576881828.

The spelling of 87870 in words is "eighty-seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 101 145 174 202 290 303 435 505 606 870 1010 1515 2929 3030 5858 8787 14645 17574 29290 43935 87870

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