6958864 has 40 divisors (see below), whose sum is σ = 15490080. Its totient is φ = 2995200.

The previous prime is 6958841. The next prime is 6958891. The reversal of 6958864 is 4688596.

It is a d-powerful number, because it can be written as 6 + 9⁷ + 5⁷ + 8³ + 8⁷ + 6² + 4³ .

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, 2304 + ... + 4384.

It is an arithmetic number, because the mean of its divisors is an integer number (387252).

Almost surely, 2^6958864 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 6958864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745040).

6958864 is an abundant number, since it is smaller than the sum of its proper divisors (8531216).

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

6958864 is a wasteful number, since it uses less digits than its factorization.

6958864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2113 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 6958864 is about 2637.9658830243. The cubic root of 6958864 is about 190.9176659654.

It can be divided in two parts, 695 and 8864, that added together give a palindrome (9559).

The spelling of 6958864 in words is "six million, nine hundred fifty-eight thousand, eight hundred sixty-four".