10402320 has 80 divisors (see below), whose sum is σ = 32676480. Its totient is φ = 2737152.

The previous prime is 10402319. The next prime is 10402321. The reversal of 10402320 is 2320401.

It is an interprime number because it is at equal distance from previous prime (10402319) and next prime (10402321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10402320² = 216416522764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10402296 and 10402305.

It is not an unprimeable number, because it can be changed into a prime (10402321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21117 + ... + 21603.

It is an arithmetic number, because the mean of its divisors is an integer number (408456).

Almost surely, 2^10402320 is an apocalyptic number.

10402320 is a gapful number since it is divisible by the number (10) 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 10402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240).

10402320 is an abundant number, since it is smaller than the sum of its proper divisors (22274160).

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

10402320 is a wasteful number, since it uses less digits than its factorization.

10402320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10402320 is about 3225.2627799917. The cubic root of 10402320 is about 218.2948063765.

Adding to 10402320 its reverse (2320401), we get a palindrome (12722721).

The spelling of 10402320 in words is "ten million, four hundred two thousand, three hundred twenty".