42107688 has 80 divisors (see below), whose sum is σ = 134803680. Its totient is φ = 12029472.

The previous prime is 42107677. The next prime is 42107713. The reversal of 42107688 is 88670124.

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 19 ways as a sum of consecutive naturals, for example, 106 + ... + 9177.

It is an arithmetic number, because the mean of its divisors is an integer number (1685046).

Almost surely, 2^42107688 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 42107688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67401840).

42107688 is an abundant number, since it is smaller than the sum of its proper divisors (92695992).

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

42107688 is a wasteful number, since it uses less digits than its factorization.

42107688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9308 (or 9295 counting only the distinct ones).

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

The square root of 42107688 is about 6489.0436891733. The cubic root of 42107688 is about 347.8994953521.

The spelling of 42107688 in words is "forty-two million, one hundred seven thousand, six hundred eighty-eight".