87168600 has 144 divisors (see below), whose sum is σ = 296930400. Its totient is φ = 22913280.

The previous prime is 87168593. The next prime is 87168607. The reversal of 87168600 is 686178.

It is an interprime number because it is at equal distance from previous prime (87168593) and next prime (87168607).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87168607) 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 35 ways as a sum of consecutive naturals, for example, 141894 + ... + 142506.

Almost surely, 2^87168600 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 87168600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148465200).

87168600 is an abundant number, since it is smaller than the sum of its proper divisors (209761800).

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

87168600 is a wasteful number, since it uses less digits than its factorization.

87168600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87168600 is about 9336.4125872843. The cubic root of 87168600 is about 443.3908129567.

The spelling of 87168600 in words is "eighty-seven million, one hundred sixty-eight thousand, six hundred".