6793920 has 168 divisors, whose sum is σ = 26785824. Its totient is φ = 1548288.

The previous prime is 6793877. The next prime is 6793951. The reversal of 6793920 is 293976.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19992 + ... + 20328.

Almost surely, 2^6793920 is an apocalyptic number.

6793920 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 6793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392912).

6793920 is an abundant number, since it is smaller than the sum of its proper divisors (19991904).

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

6793920 is a wasteful number, since it uses less digits than its factorization.

6793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

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

The square root of 6793920 is about 2606.5149145938. The cubic root of 6793920 is about 189.3971659837.

The spelling of 6793920 in words is "six million, seven hundred ninety-three thousand, nine hundred twenty".