42087168 has 72 divisors (see below), whose sum is σ = 124479600. Its totient is φ = 14026752.

The previous prime is 42087151. The next prime is 42087169. The reversal of 42087168 is 86178024.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (42087169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3868 + ... + 9956.

Almost surely, 2^42087168 is an apocalyptic number.

42087168 is a gapful number since it is divisible by the number (48) 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 42087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62239800).

42087168 is an abundant number, since it is smaller than the sum of its proper divisors (82392432).

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

42087168 is an equidigital number, since it uses as much as digits as its factorization.

42087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 6094 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 42087168 is about 6487.4623698331. The cubic root of 42087168 is about 347.8429731512.

The spelling of 42087168 in words is "forty-two million, eighty-seven thousand, one hundred sixty-eight".