7608096 has 36 divisors (see below), whose sum is σ = 21636342. Its totient is φ = 2535936.

The previous prime is 7608079. The next prime is 7608131. The reversal of 7608096 is 6908067.

It can be written as a sum of positive squares in only one way, i.e., 7290000 + 318096 = 2700^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7608096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12921 + ... + 13496.

Almost surely, 2^7608096 is an apocalyptic number.

It is an amenable number.

7608096 is an abundant number, since it is smaller than the sum of its proper divisors (14028246).

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

7608096 is a wasteful number, since it uses less digits than its factorization.

7608096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26433 (or 26422 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7608096 is about 2758.2777235079. The cubic root of 7608096 is about 196.6793033471.

It can be divided in two parts, 76080 and 96, that added together give a square (76176 = 276²).

The spelling of 7608096 in words is "seven million, six hundred eight thousand, ninety-six".