7724064 has 48 divisors (see below), whose sum is σ = 20623680. Its totient is φ = 2530560.

The previous prime is 7724039. The next prime is 7724099. The reversal of 7724064 is 4604277.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7724064² = 119322329352192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5197 + ... + 6515.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^7724064 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 7724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311840).

7724064 is an abundant number, since it is smaller than the sum of its proper divisors (12899616).

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

7724064 is a wasteful number, since it uses less digits than its factorization.

7724064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 7724064 is about 2779.2200344701. The cubic root of 7724064 is about 197.6735770408.

The spelling of 7724064 in words is "seven million, seven hundred twenty-four thousand, sixty-four".