42080688 has 160 divisors (see below), whose sum is σ = 133324800. Its totient is φ = 12628224.

The previous prime is 42080683. The next prime is 42080699. The reversal of 42080688 is 88608024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42080683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331281 + ... + 331407.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^42080688 is an apocalyptic number.

42080688 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 42080688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662400).

42080688 is an abundant number, since it is smaller than the sum of its proper divisors (91244112).

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

42080688 is a wasteful number, since it uses less digits than its factorization.

42080688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42080688 is about 6486.9629257458. The cubic root of 42080688 is about 347.8251202183.

The spelling of 42080688 in words is "forty-two million, eighty thousand, six hundred eighty-eight".