6790144 has 44 divisors (see below), whose sum is σ = 14329000. Its totient is φ = 3207168.

The previous prime is 6790141. The next prime is 6790153. The reversal of 6790144 is 4410976.

It is a super-2 number, since 2×6790144² = 92212111081472, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6790141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19282 + ... + 19630.

Almost surely, 2^6790144 is an apocalyptic number.

6790144 is a gapful number since it is divisible by the number (64) 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 6790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164500).

6790144 is an abundant number, since it is smaller than the sum of its proper divisors (7538856).

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

6790144 is a wasteful number, since it uses less digits than its factorization.

6790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 6790144 is about 2605.7904750766. The cubic root of 6790144 is about 189.3620710638.

The spelling of 6790144 in words is "six million, seven hundred ninety thousand, one hundred forty-four".