6597920 has 96 divisors (see below), whose sum is σ = 18361728. Its totient is φ = 2193408.

The previous prime is 6597893. The next prime is 6597931. The reversal of 6597920 is 297956.

Added to its reverse (297956) it gives a square (6895876 = 2626²).

6597920 = T₄₀ + T₄₁ + ... + T₃₄₀.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48092 + ... + 48228.

It is an arithmetic number, because the mean of its divisors is an integer number (191268).

Almost surely, 2^6597920 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 6597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180864).

6597920 is an abundant number, since it is smaller than the sum of its proper divisors (11763808).

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

6597920 is a wasteful number, since it uses less digits than its factorization.

6597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 6597920 is about 2568.6416643822. The cubic root of 6597920 is about 187.5580383294.

Adding to 6597920 its reverse (297956), we get a square (6895876 = 2626²).

The spelling of 6597920 in words is "six million, five hundred ninety-seven thousand, nine hundred twenty".