87066168 has 64 divisors (see below), whose sum is σ = 249553920. Its totient is φ = 24796800.

The previous prime is 87066167. The next prime is 87066169. The reversal of 87066168 is 86166078.

It is an interprime number because it is at equal distance from previous prime (87066167) and next prime (87066169).

It is a super-2 number, since 2×87066168² = 15161035220408448, which contains 22 as substring.

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 (87066167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70113 + ... + 71343.

It is an arithmetic number, because the mean of its divisors is an integer number (3899280).

Almost surely, 2^87066168 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 87066168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124776960).

87066168 is an abundant number, since it is smaller than the sum of its proper divisors (162487752).

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

87066168 is a wasteful number, since it uses less digits than its factorization.

87066168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 87066168 is about 9330.9253560405. The cubic root of 87066168 is about 443.2170683996.

The spelling of 87066168 in words is "eighty-seven million, sixty-six thousand, one hundred sixty-eight".