6997320 has 256 divisors, whose sum is σ = 27648000. Its totient is φ = 1555200.

The previous prime is 6997307. The next prime is 6997321. The reversal of 6997320 is 237996.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6997321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 225705 + ... + 225735.

It is an arithmetic number, because the mean of its divisors is an integer number (108000).

Almost surely, 2^6997320 is an apocalyptic number.

6997320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6997320 is the 2160-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6997320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13824000).

6997320 is an abundant number, since it is smaller than the sum of its proper divisors (20650680).

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

6997320 is a wasteful number, since it uses less digits than its factorization.

6997320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 6997320 is about 2645.2447901848. The cubic root of 6997320 is about 191.2687025155.

The spelling of 6997320 in words is "six million, nine hundred ninety-seven thousand, three hundred twenty".