10726920 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2818176.

The previous prime is 10726879. The next prime is 10726927. The reversal of 10726920 is 2962701.

It is not an unprimeable number, because it can be changed into a prime (10726927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29701 + ... + 30059.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^10726920 is an apocalyptic number.

10726920 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 10726920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

10726920 is an abundant number, since it is smaller than the sum of its proper divisors (24653880).

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

10726920 is a wasteful number, since it uses less digits than its factorization.

10726920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10726920 is about 3275.1977039562. The cubic root of 10726920 is about 220.5421888515.

The spelling of 10726920 in words is "ten million, seven hundred twenty-six thousand, nine hundred twenty".