10261720 has 64 divisors (see below), whose sum is σ = 26830080. Its totient is φ = 3459456.

The previous prime is 10261717. The next prime is 10261721. The reversal of 10261720 is 2716201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10261721) 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, 18487 + ... + 19033.

It is an arithmetic number, because the mean of its divisors is an integer number (419220).

Almost surely, 2^10261720 is an apocalyptic number.

10261720 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 10261720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13415040).

10261720 is an abundant number, since it is smaller than the sum of its proper divisors (16568360).

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

10261720 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (10261719) it forms an eRAP, since the sums of their prime factors are consecutive (631 and 632).

With its predecessor (10261719) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (628).

10261720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10261720 is about 3203.3919522906. The cubic root of 10261720 is about 217.3068351483.

Adding to 10261720 its reverse (2716201), we get a palindrome (12977921).

The spelling of 10261720 in words is "ten million, two hundred sixty-one thousand, seven hundred twenty".