7698960 has 180 divisors, whose sum is σ = 28208388. Its totient is φ = 1880064.

The previous prime is 7698937. The next prime is 7698961. The reversal of 7698960 is 698967.

It can be written as a sum of positive squares in 6 ways, for example, as 1468944 + 6230016 = 1212^2 + 2496^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7698961) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 208062 + ... + 208098.

Almost surely, 2^7698960 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 7698960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104194).

7698960 is an abundant number, since it is smaller than the sum of its proper divisors (20509428).

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

7698960 is a wasteful number, since it uses less digits than its factorization.

7698960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 7698960 is about 2774.6999837820. The cubic root of 7698960 is about 197.4591914830.

The spelling of 7698960 in words is "seven million, six hundred ninety-eight thousand, nine hundred sixty".