6145920 has 192 divisors, whose sum is σ = 23390640. Its totient is φ = 1474560.

The previous prime is 6145913. The next prime is 6145927. The reversal of 6145920 is 295416.

It is an interprime number because it is at equal distance from previous prime (6145913) and next prime (6145927).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6145927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63312 + ... + 63408.

Almost surely, 2^6145920 is an apocalyptic number.

6145920 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 6145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

6145920 is an abundant number, since it is smaller than the sum of its proper divisors (17244720).

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

6145920 is a wasteful number, since it uses less digits than its factorization.

6145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6145920 is about 2479.0966096544. The cubic root of 6145920 is about 183.1733553922.

The spelling of 6145920 in words is "six million, one hundred forty-five thousand, nine hundred twenty".