6481920 has 96 divisors (see below), whose sum is σ = 20835360. Its totient is φ = 1720320.

The previous prime is 6481873. The next prime is 6481927. The reversal of 6481920 is 291846.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6481927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30615 + ... + 30825.

It is an arithmetic number, because the mean of its divisors is an integer number (217035).

Almost surely, 2^6481920 is an apocalyptic number.

6481920 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 6481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10417680).

6481920 is an abundant number, since it is smaller than the sum of its proper divisors (14353440).

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

6481920 is a wasteful number, since it uses less digits than its factorization.

6481920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6481920 is about 2545.9615079573. The cubic root of 6481920 is about 186.4523617686.

The spelling of 6481920 in words is "six million, four hundred eighty-one thousand, nine hundred twenty".