10930320 has 240 divisors, whose sum is σ = 41783040. Its totient is φ = 2543616.

The previous prime is 10930319. The next prime is 10930333. The reversal of 10930320 is 2303901.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10930293 and 10930302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 232537 + ... + 232583.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^10930320 is an apocalyptic number.

10930320 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 10930320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20891520).

10930320 is an abundant number, since it is smaller than the sum of its proper divisors (30852720).

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

10930320 is a wasteful number, since it uses less digits than its factorization.

10930320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 10930320 is about 3306.1034466574. The cubic root of 10930320 is about 221.9274172262.

The spelling of 10930320 in words is "ten million, nine hundred thirty thousand, three hundred twenty".