87771168 has 192 divisors, whose sum is σ = 275788800. Its totient is φ = 27095040.

The previous prime is 87771163. The next prime is 87771169. The reversal of 87771168 is 86117778.

It is a happy number.

Its product of digits (131712) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (87771161) 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, 776680 + ... + 776792.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 2^87771168 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 87771168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137894400).

87771168 is an abundant number, since it is smaller than the sum of its proper divisors (188017632).

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

87771168 is a wasteful number, since it uses less digits than its factorization.

87771168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The square root of 87771168 is about 9368.6267937196. The cubic root of 87771168 is about 444.4101396485.

The spelling of 87771168 in words is "eighty-seven million, seven hundred seventy-one thousand, one hundred sixty-eight".