10526720 has 56 divisors (see below), whose sum is σ = 25360884. Its totient is φ = 4194304.

The previous prime is 10526717. The next prime is 10526753. The reversal of 10526720 is 2762501.

It can be written as a sum of positive squares in 2 ways, for example, as 9834496 + 692224 = 3136^2 + 832^2 .

It is a super-2 number, since 2×10526720² = 221623667916800, which contains 22 as substring.

It is a zygodrome in base 4.

It is an unprimeable number.

In principle, a polygon with 10526720 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40832 + ... + 41088.

Almost surely, 2^10526720 is an apocalyptic number.

10526720 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 10526720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12680442).

10526720 is an abundant number, since it is smaller than the sum of its proper divisors (14834164).

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

10526720 is an frugal number, since it uses more digits than its factorization.

10526720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10526720 is about 3244.4907150430. The cubic root of 10526720 is about 219.1615468804.

The spelling of 10526720 in words is "ten million, five hundred twenty-six thousand, seven hundred twenty".