87150000 has 240 divisors, whose sum is σ = 325479168. Its totient is φ = 19680000.

The previous prime is 87149999. The next prime is 87150023. The reversal of 87150000 is 5178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049959 + ... + 1050041.

Almost surely, 2^87150000 is an apocalyptic number.

87150000 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 87150000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

87150000 is an abundant number, since it is smaller than the sum of its proper divisors (238329168).

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

87150000 is an equidigital number, since it uses as much as digits as its factorization.

87150000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 87150000 is about 9335.4164342037. The cubic root of 87150000 is about 443.3592738636.

Adding to 87150000 its reverse (5178), we get a palindrome (87155178).

The spelling of 87150000 in words is "eighty-seven million, one hundred fifty thousand".