10820320 has 48 divisors (see below), whose sum is σ = 29217888. Its totient is φ = 3709440.

The previous prime is 10820267. The next prime is 10820323. The reversal of 10820320 is 2302801.

It is a happy number.

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 = 10820294 and 10820303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10820323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711 + ... + 5950.

It is an arithmetic number, because the mean of its divisors is an integer number (608706).

Almost surely, 2^10820320 is an apocalyptic number.

10820320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10820320 is an abundant number, since it is smaller than the sum of its proper divisors (18397568).

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

10820320 is an equidigital number, since it uses as much as digits as its factorization.

10820320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9675 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 10820320 is about 3289.4254817521. The cubic root of 10820320 is about 221.1804318076.

The spelling of 10820320 in words is "ten million, eight hundred twenty thousand, three hundred twenty".