420688 has 10 divisors (see below), whose sum is σ = 815114. Its totient is φ = 210336.

The previous prime is 420683. The next prime is 420691. The reversal of 420688 is 886024.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 784 = 648^2 + 28^2 .

It is a congruent number.

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 as a sum of consecutive naturals, namely, 13131 + ... + 13162.

2⁴²⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

420688 is a deficient number, since it is larger than the sum of its proper divisors (394426).

420688 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 420688 = (268084)₁₁.

420688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26301 (or 26295 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 420688 is about 648.6046561658. The cubic root of 420688 is about 74.9295931850.

The spelling of 420688 in words is "four hundred twenty thousand, six hundred eighty-eight".