7268416 has 21 divisors (see below), whose sum is σ = 14466189. Its totient is φ = 3623424.

The previous prime is 7268411. The next prime is 7268423. The reversal of 7268416 is 6148627.

7268416 = T₁₅ + T₁₆ + ... + T₃₅₁.

The square root of 7268416 is 2696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 5308416 = 1400^2 + 2304^2 .

It is a super-2 number, since 2×7268416² = 105659742298112, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7⁷ + 2¹⁹ + 6⁶ + 8 + 4¹¹ + 1 + 6⁸ .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7268411) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 21400 + ... + 21736.

Almost surely, 2^7268416 is an apocalyptic number.

7268416 is the 2696-th square number.

It is an amenable number.

7268416 is a deficient number, since it is larger than the sum of its proper divisors (7197773).

7268416 is an frugal number, since it uses more digits than its factorization.

7268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 339 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The cubic root of 7268416 is about 193.7075694807.

The spelling of 7268416 in words is "seven million, two hundred sixty-eight thousand, four hundred sixteen".