6907968 has 84 divisors (see below), whose sum is σ = 20208240. Its totient is φ = 2255616.

The previous prime is 6907949. The next prime is 6907969. The reversal of 6907968 is 8697096.

It is not an unprimeable number, because it can be changed into a prime (6907969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38503 + ... + 38681.

Almost surely, 2^6907968 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 6907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104120).

6907968 is an abundant number, since it is smaller than the sum of its proper divisors (13300272).

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

6907968 is a wasteful number, since it uses less digits than its factorization.

6907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

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

The square root of 6907968 is about 2628.3013525850. The cubic root of 6907968 is about 190.4510796739.

It can be divided in two parts, 6907 and 968, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 6907968 in words is "six million, nine hundred seven thousand, nine hundred sixty-eight".