6253920 has 144 divisors (see below), whose sum is σ = 22054032. Its totient is φ = 1612800.

The previous prime is 6253901. The next prime is 6253927. The reversal of 6253920 is 293526.

6253920 is a `hidden beast` number, since 625 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6253920² = 78223030732800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6253927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61870 + ... + 61970.

It is an arithmetic number, because the mean of its divisors is an integer number (153153).

Almost surely, 2^6253920 is an apocalyptic number.

6253920 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 6253920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027016).

6253920 is an abundant number, since it is smaller than the sum of its proper divisors (15800112).

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

6253920 is a wasteful number, since it uses less digits than its factorization.

6253920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6253920 is about 2500.7838771073. The cubic root of 6253920 is about 184.2400772928.

The spelling of 6253920 in words is "six million, two hundred fifty-three thousand, nine hundred twenty".