7608960 has 96 divisors (see below), whose sum is σ = 26294580. Its totient is φ = 2027520.

The previous prime is 7608947. The next prime is 7608973. The reversal of 7608960 is 698067.

It is an interprime number because it is at equal distance from previous prime (7608947) and next prime (7608973).

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 254016 = 2712^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 6420.

Almost surely, 2^7608960 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 7608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13147290).

7608960 is an abundant number, since it is smaller than the sum of its proper divisors (18685620).

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

7608960 is a wasteful number, since it uses less digits than its factorization.

7608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1331 counting only the distinct ones).

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

The square root of 7608960 is about 2758.4343385334. The cubic root of 7608960 is about 196.6867482447.

The spelling of 7608960 in words is "seven million, six hundred eight thousand, nine hundred sixty".