10814720 has 144 divisors (see below), whose sum is σ = 31788288. Its totient is φ = 3440640.

The previous prime is 10814719. The next prime is 10814729. The reversal of 10814720 is 2741801.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10814729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152285 + ... + 152355.

It is an arithmetic number, because the mean of its divisors is an integer number (220752).

Almost surely, 2^10814720 is an apocalyptic number.

10814720 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 10814720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894144).

10814720 is an abundant number, since it is smaller than the sum of its proper divisors (20973568).

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

10814720 is an equidigital number, since it uses as much as digits as its factorization.

10814720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 10814720 is about 3288.5741591152. The cubic root of 10814720 is about 221.1422682980.

The spelling of 10814720 in words is "ten million, eight hundred fourteen thousand, seven hundred twenty".