10435320 has 192 divisors, whose sum is σ = 40098240. Its totient is φ = 2304000.

The previous prime is 10435303. The next prime is 10435387. The reversal of 10435320 is 2353401.

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 = 10435293 and 10435302.

It is a congruent number.

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, 103270 + ... + 103370.

It is an arithmetic number, because the mean of its divisors is an integer number (208845).

Almost surely, 2^10435320 is an apocalyptic number.

10435320 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 10435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

10435320 is an abundant number, since it is smaller than the sum of its proper divisors (29662920).

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

10435320 is a wasteful number, since it uses less digits than its factorization.

10435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10435320 is about 3230.3745912819. The cubic root of 10435320 is about 218.5253999486.

Adding to 10435320 its reverse (2353401), we get a palindrome (12788721).

The spelling of 10435320 in words is "ten million, four hundred thirty-five thousand, three hundred twenty".