42835680 has 144 divisors (see below), whose sum is σ = 147891744. Its totient is φ = 11289600.

The previous prime is 42835673. The next prime is 42835691. The reversal of 42835680 is 8653824.

42835680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 217342 + ... + 217538.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 2^42835680 is an apocalyptic number.

42835680 is a gapful number since it is divisible by the number (40) 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 42835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73945872).

42835680 is an abundant number, since it is smaller than the sum of its proper divisors (105056064).

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

42835680 is a wasteful number, since it uses less digits than its factorization.

42835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42835680 is about 6544.8972490025. The cubic root of 42835680 is about 349.8929740788.

The spelling of 42835680 in words is "forty-two million, eight hundred thirty-five thousand, six hundred eighty".