6920928 has 72 divisors (see below), whose sum is σ = 22499568. Its totient is φ = 1976832.

The previous prime is 6920917. The next prime is 6920939. The reversal of 6920928 is 8290296.

It is an interprime number because it is at equal distance from previous prime (6920917) and next prime (6920939).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 6920892 and 6920901.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 300 + ... + 3732.

It is an arithmetic number, because the mean of its divisors is an integer number (312494).

Almost surely, 2^6920928 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 6920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249784).

6920928 is an abundant number, since it is smaller than the sum of its proper divisors (15578640).

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

6920928 is a wasteful number, since it uses less digits than its factorization.

6920928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6920928 is about 2630.7656680138. The cubic root of 6920928 is about 190.5701066702.

The spelling of 6920928 in words is "six million, nine hundred twenty thousand, nine hundred twenty-eight".