6922080 has 288 divisors, whose sum is σ = 28304640. Its totient is φ = 1520640.

The previous prime is 6922051. The next prime is 6922081. The reversal of 6922080 is 802296.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6922081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300949 + ... + 300971.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

Almost surely, 2^6922080 is an apocalyptic number.

6922080 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 6922080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320).

6922080 is an abundant number, since it is smaller than the sum of its proper divisors (21382560).

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

6922080 is a wasteful number, since it uses less digits than its factorization.

6922080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6922080 is about 2630.9846065684. The cubic root of 6922080 is about 190.5806796542.

It can be divided in two parts, 692 and 2080, that added together give a palindrome (2772).

The spelling of 6922080 in words is "six million, nine hundred twenty-two thousand, eighty".