6958720 has 64 divisors (see below), whose sum is σ = 16964640. Its totient is φ = 2728960.

The previous prime is 6958667. The next prime is 6958801. The reversal of 6958720 is 278596.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 6958720.

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, 53055 + ... + 53185.

Almost surely, 2^6958720 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 6958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482320).

6958720 is an abundant number, since it is smaller than the sum of its proper divisors (10005920).

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

6958720 is a wasteful number, since it uses less digits than its factorization.

6958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 6958720 is about 2637.9385891260. The cubic root of 6958720 is about 190.9163490678.

The spelling of 6958720 in words is "six million, nine hundred fifty-eight thousand, seven hundred twenty".