42202680 has 96 divisors (see below), whose sum is σ = 137162160. Its totient is φ = 10383360.

The previous prime is 42202679. The next prime is 42202703. The reversal of 42202680 is 8620224.

42202680 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42202680.

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, 19240 + ... + 21320.

Almost surely, 2^42202680 is an apocalyptic number.

42202680 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 42202680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68581080).

42202680 is an abundant number, since it is smaller than the sum of its proper divisors (94959480).

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

42202680 is a wasteful number, since it uses less digits than its factorization.

42202680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42202680 is about 6496.3589802288. The cubic root of 42202680 is about 348.1609111842.

The spelling of 42202680 in words is "forty-two million, two hundred two thousand, six hundred eighty".