420680 has 32 divisors (see below), whose sum is σ = 1020600. Its totient is φ = 155136.

The previous prime is 420677. The next prime is 420683. The reversal of 420680 is 86024.

It is an interprime number because it is at equal distance from previous prime (420677) and next prime (420683).

It can be written as a sum of positive squares in 4 ways, for example, as 343396 + 77284 = 586^2 + 278^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 924.

2⁴²⁰⁶⁸⁰ is an apocalyptic number.

420680 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 420680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510300).

420680 is an abundant number, since it is smaller than the sum of its proper divisors (599920).

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

420680 is a wasteful number, since it uses less digits than its factorization.

420680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 420680 is about 648.5984890516. The cubic root of 420680 is about 74.9291182166.

The spelling of 420680 in words is "four hundred twenty thousand, six hundred eighty".