6829920 has 240 divisors, whose sum is σ = 26345088. Its totient is φ = 1658880.

The previous prime is 6829897. The next prime is 6829931. The reversal of 6829920 is 299286.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220305 + ... + 220335.

Almost surely, 2^6829920 is an apocalyptic number.

6829920 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 6829920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172544).

6829920 is an abundant number, since it is smaller than the sum of its proper divisors (19515168).

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

6829920 is a wasteful number, since it uses less digits than its factorization.

6829920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

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

The square root of 6829920 is about 2613.4115634549. The cubic root of 6829920 is about 189.7311062442.

The spelling of 6829920 in words is "six million, eight hundred twenty-nine thousand, nine hundred twenty".