10406320 has 20 divisors (see below), whose sum is σ = 24194880. Its totient is φ = 4162496.

The previous prime is 10406303. The next prime is 10406321. The reversal of 10406320 is 2360401.

10406320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10406294 and 10406303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10406321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64960 + ... + 65119.

It is an arithmetic number, because the mean of its divisors is an integer number (1209744).

Almost surely, 2^10406320 is an apocalyptic number.

10406320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10406320 is an abundant number, since it is smaller than the sum of its proper divisors (13788560).

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

10406320 is a wasteful number, since it uses less digits than its factorization.

10406320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130092 (or 130086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 10406320 is about 3225.8828249024. The cubic root of 10406320 is about 218.3227830628.

Adding to 10406320 its reverse (2360401), we get a palindrome (12766721).

The spelling of 10406320 in words is "ten million, four hundred six thousand, three hundred twenty".