10218720 has 96 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 2672640.

The previous prime is 10218709. The next prime is 10218727. The reversal of 10218720 is 2781201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10218727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29106 + ... + 29454.

It is an arithmetic number, because the mean of its divisors is an integer number (341775).

Almost surely, 2^10218720 is an apocalyptic number.

10218720 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 10218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

10218720 is an abundant number, since it is smaller than the sum of its proper divisors (22591680).

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

10218720 is a wasteful number, since it uses less digits than its factorization.

10218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 10218720 is about 3196.6732707613. The cubic root of 10218720 is about 217.0028810309.

Adding to 10218720 its reverse (2781201), we get a palindrome (12999921).

The spelling of 10218720 in words is "ten million, two hundred eighteen thousand, seven hundred twenty".