10684224 has 98 divisors (see below), whose sum is σ = 31926530. Its totient is φ = 3545856.

The previous prime is 10684189. The next prime is 10684237. The reversal of 10684224 is 42248601.

It can be written as a sum of positive squares in only one way, i.e., 10497600 + 186624 = 3240^2 + 432^2 .

It is a super-2 number, since 2×10684224² = 228305284964352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46542 + ... + 46770.

Almost surely, 2^10684224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10684224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15963265).

10684224 is an abundant number, since it is smaller than the sum of its proper divisors (21242306).

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

10684224 is an frugal number, since it uses more digits than its factorization.

10684224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10684224 is about 3268.6731252911. The cubic root of 10684224 is about 220.2491942149.

The spelling of 10684224 in words is "ten million, six hundred eighty-four thousand, two hundred twenty-four".