7164224 has 56 divisors (see below), whose sum is σ = 15410688. Its totient is φ = 3294720.

The previous prime is 7164203. The next prime is 7164239. The reversal of 7164224 is 4224617.

It is a super-2 number, since 2×7164224² = 102652211044352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7164193 and 7164202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45554 + ... + 45710.

Almost surely, 2^7164224 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 7164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705344).

7164224 is an abundant number, since it is smaller than the sum of its proper divisors (8246464).

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

7164224 is a wasteful number, since it uses less digits than its factorization.

7164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 2688, while the sum is 26.

The square root of 7164224 is about 2676.6068071347. The cubic root of 7164224 is about 192.7775184268. Note that the first 3 decimals are identical.

It can be divided in two parts, 7164 and 224, that multiplied together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 7164224 in words is "seven million, one hundred sixty-four thousand, two hundred twenty-four".