10804320 has 192 divisors, whose sum is σ = 39372480. Its totient is φ = 2764800.

The previous prime is 10804301. The next prime is 10804349. The reversal of 10804320 is 2340801.

It is a happy number.

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 = 10804293 and 10804302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177090 + ... + 177150.

It is an arithmetic number, because the mean of its divisors is an integer number (205065).

Almost surely, 2^10804320 is an apocalyptic number.

10804320 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 10804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19686240).

10804320 is an abundant number, since it is smaller than the sum of its proper divisors (28568160).

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

10804320 is a wasteful number, since it uses less digits than its factorization.

10804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10804320 is about 3286.9925463864. The cubic root of 10804320 is about 221.0713582417.

It can be divided in two parts, 1080 and 4320, that multiplied together give a square (4665600 = 2160²).

The spelling of 10804320 in words is "ten million, eight hundred four thousand, three hundred twenty".