87507168 has 96 divisors (see below), whose sum is σ = 265192704. Its totient is φ = 24748032.

The previous prime is 87507163. The next prime is 87507169. The reversal of 87507168 is 86170578.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87507163) 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 15 ways as a sum of consecutive naturals, for example, 71296 + ... + 72512.

It is an arithmetic number, because the mean of its divisors is an integer number (2762424).

Almost surely, 2^87507168 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 87507168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132596352).

87507168 is an abundant number, since it is smaller than the sum of its proper divisors (177685536).

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

87507168 is a wasteful number, since it uses less digits than its factorization.

87507168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 87507168 is about 9354.5266048048. The cubic root of 87507168 is about 443.9641233896.

The spelling of 87507168 in words is "eighty-seven million, five hundred seven thousand, one hundred sixty-eight".