87140000 has 60 divisors (see below), whose sum is σ = 214426674. Its totient is φ = 34848000.

The previous prime is 87139993. The next prime is 87140017. The reversal of 87140000 is 4178.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 19044496 + 68095504 = 4364^2 + 8252^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 17822 + ... + 22178.

Almost surely, 2^87140000 is an apocalyptic number.

87140000 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 87140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107213337).

87140000 is an abundant number, since it is smaller than the sum of its proper divisors (127286674).

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

87140000 is an equidigital number, since it uses as much as digits as its factorization.

87140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4387 (or 4364 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 87140000 is about 9334.8808240920. The cubic root of 87140000 is about 443.3423155070.

Adding to 87140000 its reverse (4178), we get a palindrome (87144178).

The spelling of 87140000 in words is "eighty-seven million, one hundred forty thousand".