87075000 has 240 divisors, whose sum is σ = 311933160. Its totient is φ = 22680000.

The previous prime is 87074963. The next prime is 87075007. The reversal of 87075000 is 57078.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87075007) 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 59 ways as a sum of consecutive naturals, for example, 2024979 + ... + 2025021.

Almost surely, 2^87075000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155966580).

87075000 is an abundant number, since it is smaller than the sum of its proper divisors (224858160).

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

87075000 is an equidigital number, since it uses as much as digits as its factorization.

87075000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 87075000 is about 9331.3986089975. The cubic root of 87075000 is about 443.2320545527.

The spelling of 87075000 in words is "eighty-seven million, seventy-five thousand".