10000320 has 112 divisors (see below), whose sum is σ = 34674048. Its totient is φ = 2421760.

The previous prime is 10000303. The next prime is 10000339. The reversal of 10000320 is 2300001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10000299 and 10000308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10087 + ... + 11033.

Almost surely, 2^10000320 is an apocalyptic number.

10000320 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 10000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17337024).

10000320 is an abundant number, since it is smaller than the sum of its proper divisors (24673728).

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

10000320 is a wasteful number, since it uses less digits than its factorization.

10000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 10000320 is about 3162.3282562062. The cubic root of 10000320 is about 215.4457670423.

Adding to 10000320 its reverse (2300001), we get a palindrome (12300321).

It can be divided in two parts, 10000 and 320, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 10000320 in words is "ten million, three hundred twenty", and thus it is an aban number.