8395968 has 56 divisors (see below), whose sum is σ = 25391872. Its totient is φ = 2398464.

The previous prime is 8395957. The next prime is 8395973. The reversal of 8395968 is 8695938.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a d-powerful number, because it can be written as 8⁵ + 3¹³ + 9 + 5⁹ + 9⁷ + 6 + 8⁵ .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780 + ... + 4467.

Almost surely, 2^8395968 is an apocalyptic number.

It is an amenable number.

8395968 is an abundant number, since it is smaller than the sum of its proper divisors (16995904).

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

8395968 is a wasteful number, since it uses less digits than its factorization.

8395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6269 (or 6259 counting only the distinct ones).

The product of its digits is 466560, while the sum is 48.

The square root of 8395968 is about 2897.5796796637. The cubic root of 8395968 is about 203.2467414742.

The spelling of 8395968 in words is "eight million, three hundred ninety-five thousand, nine hundred sixty-eight".