7660667 has 16 divisors (see below), whose sum is σ = 9292800. Its totient is φ = 6168960.

The previous prime is 7660649. The next prime is 7660699.

7660667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7660667 - 2⁶ = 7660603 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7660667.

It is not an unprimeable number, because it can be changed into a prime (7660607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31667 + ... + 31907.

It is an arithmetic number, because the mean of its divisors is an integer number (580800).

Almost surely, 2^7660667 is an apocalyptic number.

7660667 is a deficient number, since it is larger than the sum of its proper divisors (1632133).

7660667 is a wasteful number, since it uses less digits than its factorization.

7660667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506.

The product of its (nonzero) digits is 63504, while the sum is 38.

The square root of 7660667 is about 2767.7909964446. The cubic root of 7660667 is about 197.1312737866.

The spelling of 7660667 in words is "seven million, six hundred sixty thousand, six hundred sixty-seven".