7604896 has 48 divisors (see below), whose sum is σ = 16373448. Its totient is φ = 3456000.

The previous prime is 7604893. The next prime is 7604903. The reversal of 7604896 is 6984067.

It can be written as a sum of positive squares in 4 ways, for example, as 4928400 + 2676496 = 2220^2 + 1636^2 .

It is not an unprimeable number, because it can be changed into a prime (7604893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41926 + ... + 42106.

Almost surely, 2^7604896 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 7604896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8186724).

7604896 is an abundant number, since it is smaller than the sum of its proper divisors (8768552).

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

7604896 is a wasteful number, since it uses less digits than its factorization.

7604896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 7604896 is about 2757.6975903822. The cubic root of 7604896 is about 196.6517247418.

The spelling of 7604896 in words is "seven million, six hundred four thousand, eight hundred ninety-six".