10235720 has 64 divisors (see below), whose sum is σ = 25755840. Its totient is φ = 3628800.

The previous prime is 10235669. The next prime is 10235723. The reversal of 10235720 is 2753201.

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 = 10235692 and 10235701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18650 + ... + 19190.

It is an arithmetic number, because the mean of its divisors is an integer number (402435).

Almost surely, 2^10235720 is an apocalyptic number.

10235720 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 10235720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877920).

10235720 is an abundant number, since it is smaller than the sum of its proper divisors (15520120).

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

10235720 is a wasteful number, since it uses less digits than its factorization.

10235720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10235720 is about 3199.3311801062. The cubic root of 10235720 is about 217.1231506651.

Adding to 10235720 its reverse (2753201), we get a palindrome (12988921).

The spelling of 10235720 in words is "ten million, two hundred thirty-five thousand, seven hundred twenty".