6986320 has 80 divisors (see below), whose sum is σ = 18802368. Its totient is φ = 2385920.

The previous prime is 6986311. The next prime is 6986321. The reversal of 6986320 is 236896.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986321) 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, 14727 + ... + 15193.

Almost surely, 2^6986320 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 6986320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9401184).

6986320 is an abundant number, since it is smaller than the sum of its proper divisors (11816048).

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

6986320 is a wasteful number, since it uses less digits than its factorization.

6986320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 6986320 is about 2643.1647697410. The cubic root of 6986320 is about 191.1684232092.

The spelling of 6986320 in words is "six million, nine hundred eighty-six thousand, three hundred twenty".