87360000 has 400 divisors, whose sum is σ = 357935424. Its totient is φ = 18432000.

The previous prime is 87359999. The next prime is 87360023. The reversal of 87360000 is 6378.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6719994 + ... + 6720006.

Almost surely, 2^87360000 is an apocalyptic number.

87360000 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 87360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178967712).

87360000 is an abundant number, since it is smaller than the sum of its proper divisors (270575424).

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

87360000 is an equidigital number, since it uses as much as digits as its factorization.

87360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

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

The square root of 87360000 is about 9346.6571564383. The cubic root of 87360000 is about 443.7151000788.

Adding to 87360000 its reverse (6378), we get a palindrome (87366378).

The spelling of 87360000 in words is "eighty-seven million, three hundred sixty thousand".