6790560 has 192 divisors, whose sum is σ = 25546752. Its totient is φ = 1483776.

The previous prime is 6790559. The next prime is 6790561. The reversal of 6790560 is 650976.

It is an interprime number because it is at equal distance from previous prime (6790559) and next prime (6790561).

It is a super-2 number, since 2×6790560² = 92223410227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6790561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144457 + ... + 144503.

It is an arithmetic number, because the mean of its divisors is an integer number (133056).

Almost surely, 2^6790560 is an apocalyptic number.

6790560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12773376).

6790560 is an abundant number, since it is smaller than the sum of its proper divisors (18756192).

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

6790560 is a wasteful number, since it uses less digits than its factorization.

6790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 6790560 is about 2605.8702960815. The cubic root of 6790560 is about 189.3659380909.

The spelling of 6790560 in words is "six million, seven hundred ninety thousand, five hundred sixty".