6289920 has 320 divisors, whose sum is σ = 27498240. Its totient is φ = 1327104.

The previous prime is 6289909. The next prime is 6289939. The reversal of 6289920 is 299826.

6289920 is a `hidden beast` number, since 628 + 9 + 9 + 20 = 666.

6289920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483834 + ... + 483846.

It is an arithmetic number, because the mean of its divisors is an integer number (85932).

Almost surely, 2^6289920 is an apocalyptic number.

6289920 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 6289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

6289920 is an abundant number, since it is smaller than the sum of its proper divisors (21208320).

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

6289920 is a wasteful number, since it uses less digits than its factorization.

6289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

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

The square root of 6289920 is about 2507.9712917017. The cubic root of 6289920 is about 184.5929203435.

The spelling of 6289920 in words is "six million, two hundred eighty-nine thousand, nine hundred twenty".