42701688 has 128 divisors (see below), whose sum is σ = 130248000. Its totient is φ = 12902400.

The previous prime is 42701669. The next prime is 42701693. The reversal of 42701688 is 88610724.

42701688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106288 + ... + 106688.

Almost surely, 2^42701688 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 42701688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65124000).

42701688 is an abundant number, since it is smaller than the sum of its proper divisors (87546312).

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

42701688 is a wasteful number, since it uses less digits than its factorization.

42701688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

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

The square root of 42701688 is about 6534.6528599460. The cubic root of 42701688 is about 349.5277658502.

The spelling of 42701688 in words is "forty-two million, seven hundred one thousand, six hundred eighty-eight".