42108768 has 192 divisors, whose sum is σ = 138862080. Its totient is φ = 12317184.

The previous prime is 42108743. The next prime is 42108811. The reversal of 42108768 is 86780124.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258255 + ... + 258417.

It is an arithmetic number, because the mean of its divisors is an integer number (723240).

Almost surely, 2^42108768 is an apocalyptic number.

42108768 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 42108768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69431040).

42108768 is an abundant number, since it is smaller than the sum of its proper divisors (96753312).

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

42108768 is a wasteful number, since it uses less digits than its factorization.

42108768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

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

The square root of 42108768 is about 6489.1269058326. The cubic root of 42108768 is about 347.9024696961.

The spelling of 42108768 in words is "forty-two million, one hundred eight thousand, seven hundred sixty-eight".