87130000 has 50 divisors (see below), whose sum is σ = 210974654. Its totient is φ = 34848000.

The previous prime is 87129979. The next prime is 87130009. The reversal of 87130000 is 3178.

It can be written as a sum of positive squares in 5 ways, for example, as 11370384 + 75759616 = 3372^2 + 8704^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 87130000.

It is not an unprimeable number, because it can be changed into a prime (87130009) 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, 5644 + ... + 14356.

Almost surely, 2^87130000 is an apocalyptic number.

87130000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105487327).

87130000 is an abundant number, since it is smaller than the sum of its proper divisors (123844654).

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

87130000 is an equidigital number, since it uses as much as digits as its factorization.

87130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8741 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 87130000 is about 9334.3451832467. The cubic root of 87130000 is about 443.3253558530.

Adding to 87130000 its reverse (3178), we get a palindrome (87133178).

The spelling of 87130000 in words is "eighty-seven million, one hundred thirty thousand".