42098688 has 84 divisors (see below), whose sum is σ = 121823988. Its totient is φ = 14008320.

The previous prime is 42098687. The next prime is 42098701. The reversal of 42098688 is 88689024.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42098687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73443 + ... + 74013.

Almost surely, 2^42098688 is an apocalyptic number.

42098688 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 42098688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60911994).

42098688 is an abundant number, since it is smaller than the sum of its proper divisors (79725300).

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

42098688 is an equidigital number, since it uses as much as digits as its factorization.

42098688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 42098688 is about 6488.3501755069. The cubic root of 42098688 is about 347.8747071744.

The spelling of 42098688 in words is "forty-two million, ninety-eight thousand, six hundred eighty-eight".