420826680 has 96 divisors (see below), whose sum is σ = 1385092800. Its totient is φ = 110792448.

The previous prime is 420826661. The next prime is 420826709. The reversal of 420826680 is 86628024.

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, 21042 + ... + 35838.

It is an arithmetic number, because the mean of its divisors is an integer number (14428050).

Almost surely, 2^420826680 is an apocalyptic number.

420826680 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 420826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692546400).

420826680 is an abundant number, since it is smaller than the sum of its proper divisors (964266120).

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

420826680 is a wasteful number, since it uses less digits than its factorization.

420826680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14893 (or 14886 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 420826680 is about 20514.0605439294. The cubic root of 420826680 is about 749.3782580584.

The spelling of 420826680 in words is "four hundred twenty million, eight hundred twenty-six thousand, six hundred eighty".