42535680 has 288 divisors, whose sum is σ = 158941440. Its totient is φ = 9584640.

The previous prime is 42535673. The next prime is 42535693. The reversal of 42535680 is 8653524.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802534 + ... + 802586.

It is an arithmetic number, because the mean of its divisors is an integer number (551880).

Almost surely, 2^42535680 is an apocalyptic number.

42535680 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 42535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

42535680 is an abundant number, since it is smaller than the sum of its proper divisors (116405760).

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

42535680 is a wasteful number, since it uses less digits than its factorization.

42535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 42535680 is about 6521.9383621742. The cubic root of 42535680 is about 349.0742337363.

The spelling of 42535680 in words is "forty-two million, five hundred thirty-five thousand, six hundred eighty".