87442168 has 32 divisors (see below), whose sum is σ = 180189360. Its totient is φ = 39450880.

The previous prime is 87442153. The next prime is 87442171. The reversal of 87442168 is 86124478.

It is a super-2 number, since 2×87442168² = 15292265489080448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 87442168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8430 + ... + 15682.

Almost surely, 2^87442168 is an apocalyptic number.

87442168 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 87442168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90094680).

87442168 is an abundant number, since it is smaller than the sum of its proper divisors (92747192).

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

87442168 is a wasteful number, since it uses less digits than its factorization.

87442168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7403 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 87442168 is about 9351.0517055570. The cubic root of 87442168 is about 443.8541711927.

The spelling of 87442168 in words is "eighty-seven million, four hundred forty-two thousand, one hundred sixty-eight".