10780224 has 112 divisors (see below), whose sum is σ = 35161728. Its totient is φ = 2838528.

The previous prime is 10780223. The next prime is 10780241. The reversal of 10780224 is 42208701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10780194 and 10780203.

It is not an unprimeable number, because it can be changed into a prime (10780223) 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, 17164 + ... + 17780.

It is an arithmetic number, because the mean of its divisors is an integer number (313944).

Almost surely, 2^10780224 is an apocalyptic number.

10780224 is a gapful number since it is divisible by the number (14) 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 10780224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17580864).

10780224 is an abundant number, since it is smaller than the sum of its proper divisors (24381504).

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

10780224 is a wasteful number, since it uses less digits than its factorization.

10780224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10780224 is about 3283.3251438138. The cubic root of 10780224 is about 220.9068900647.

Adding to 10780224 its reverse (42208701), we get a palindrome (52988925).

The spelling of 10780224 in words is "ten million, seven hundred eighty thousand, two hundred twenty-four".