6667920 has 240 divisors, whose sum is σ = 27081600. Its totient is φ = 1524096.

The previous prime is 6667909. The next prime is 6667931. The reversal of 6667920 is 297666.

It is an interprime number because it is at equal distance from previous prime (6667909) and next prime (6667931).

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

It is a super-2 number, since 2×6667920² = 88922314252800, which contains 22 as substring.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 952557 + ... + 952563.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 2^6667920 is an apocalyptic number.

6667920 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 6667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13540800).

6667920 is an abundant number, since it is smaller than the sum of its proper divisors (20413680).

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

6667920 is an equidigital number, since it uses as much as digits as its factorization.

6667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 6667920 is about 2582.2315930218. The cubic root of 6667920 is about 188.2189993554.

The spelling of 6667920 in words is "six million, six hundred sixty-seven thousand, nine hundred twenty".