10724220 has 72 divisors (see below), whose sum is σ = 35040096. Its totient is φ = 2639232.

The previous prime is 10724177. The next prime is 10724237. The reversal of 10724220 is 2242701.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10724193 and 10724202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49 + ... + 4631.

It is an arithmetic number, because the mean of its divisors is an integer number (486668).

Almost surely, 2^10724220 is an apocalyptic number.

10724220 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 10724220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520048).

10724220 is an abundant number, since it is smaller than the sum of its proper divisors (24315876).

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

10724220 is a wasteful number, since it uses less digits than its factorization.

10724220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10724220 is about 3274.7854891580. The cubic root of 10724220 is about 220.5236835745.

Adding to 10724220 its reverse (2242701), we get a palindrome (12966921).

The spelling of 10724220 in words is "ten million, seven hundred twenty-four thousand, two hundred twenty".