8948667 has 16 divisors (see below), whose sum is σ = 14685440. Its totient is φ = 4720032.

The previous prime is 8948629. The next prime is 8948669. The reversal of 8948667 is 7668498.

8948667 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8948667 - 2⁷ = 8948539 is a prime.

8948667 is strictly pandigital in base 8.

It is a plaindrome in base 16.

It is a zygodrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (8948669) 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, 16117 + ... + 16662.

It is an arithmetic number, because the mean of its divisors is an integer number (917840).

Almost surely, 2^8948667 is an apocalyptic number.

8948667 is a deficient number, since it is larger than the sum of its proper divisors (5736773).

8948667 is a wasteful number, since it uses less digits than its factorization.

8948667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32802.

The product of its digits is 580608, while the sum is 48.

The square root of 8948667 is about 2991.4322656547. The cubic root of 8948667 is about 207.6121578781.

The spelling of 8948667 in words is "eight million, nine hundred forty-eight thousand, six hundred sixty-seven".