7641296 has 40 divisors (see below), whose sum is σ = 16889544. Its totient is φ = 3317760.

The previous prime is 7641289. The next prime is 7641311. The reversal of 7641296 is 6921467.

It can be written as a sum of positive squares in 4 ways, for example, as 1210000 + 6431296 = 1100^2 + 2536^2 .

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, 2456 + ... + 4616.

Almost surely, 2^7641296 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 7641296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444772).

7641296 is an abundant number, since it is smaller than the sum of its proper divisors (9248248).

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

7641296 is a wasteful number, since it uses less digits than its factorization.

7641296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2193 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 7641296 is about 2764.2894204479. The cubic root of 7641296 is about 196.9649761231.

The spelling of 7641296 in words is "seven million, six hundred forty-one thousand, two hundred ninety-six".