87750168 has 128 divisors (see below), whose sum is σ = 250871040. Its totient is φ = 25555200.

The previous prime is 87750167. The next prime is 87750191. The reversal of 87750168 is 86105778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87750163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309671 + ... + 1309737.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2^87750168 is an apocalyptic number.

87750168 is a gapful number since it is divisible by the number (88) 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 87750168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125435520).

87750168 is an abundant number, since it is smaller than the sum of its proper divisors (163120872).

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

87750168 is a wasteful number, since it uses less digits than its factorization.

87750168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

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

The square root of 87750168 is about 9367.5059647699. The cubic root of 87750168 is about 444.3746938503.

The spelling of 87750168 in words is "eighty-seven million, seven hundred fifty thousand, one hundred sixty-eight".