10420 has 12 divisors (see below), whose sum is σ = 21924. Its totient is φ = 4160.

The previous prime is 10399. The next prime is 10427. The reversal of 10420 is 2401.

10420 = 19² + 20² + ... + 33².

It can be written as a sum of positive squares in 2 ways, for example, as 3364 + 7056 = 58^2 + 84^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427) by changing a digit.

10420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241 + ... + 280.

It is an arithmetic number, because the mean of its divisors is an integer number (1827).

2¹⁰⁴²⁰ is an apocalyptic number.

10420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10420 is an abundant number, since it is smaller than the sum of its proper divisors (11504).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10962).

10420 is a wasteful number, since it uses less digits than its factorization.

10420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10420 is about 102.0784012414. The cubic root of 10420 is about 21.8418409179.

Adding to 10420 its reverse (2401), we get a palindrome (12821).

It can be divided in two parts, 104 and 20, that multiplied together give a triangular number (2080 = T₆₄).

The spelling of 10420 in words is "ten thousand, four hundred twenty", and thus it is an iban number.