10338320 has 20 divisors (see below), whose sum is σ = 24036780. Its totient is φ = 4135296.

The previous prime is 10338313. The next prime is 10338331. The reversal of 10338320 is 2383301.

It can be written as a sum of positive squares in 2 ways, for example, as 2676496 + 7661824 = 1636^2 + 2768^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10338292 and 10338301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64535 + ... + 64694.

It is an arithmetic number, because the mean of its divisors is an integer number (1201839).

Almost surely, 2^10338320 is an apocalyptic number.

10338320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10338320 is an abundant number, since it is smaller than the sum of its proper divisors (13698460).

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

10338320 is a wasteful number, since it uses less digits than its factorization.

10338320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129242 (or 129236 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 10338320 is about 3215.3257999774. The cubic root of 10338320 is about 217.8462007532.

The spelling of 10338320 in words is "ten million, three hundred thirty-eight thousand, three hundred twenty".