6145440 has 192 divisors, whose sum is σ = 23224320. Its totient is φ = 1336320.

The previous prime is 6145429. The next prime is 6145457. The reversal of 6145440 is 445416.

It is a Cunningham number, because it is equal to 2479²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 6145440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104131 + ... + 104189.

It is an arithmetic number, because the mean of its divisors is an integer number (120960).

Almost surely, 2^6145440 is an apocalyptic number.

6145440 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 6145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11612160).

6145440 is an abundant number, since it is smaller than the sum of its proper divisors (17078880).

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

6145440 is a wasteful number, since it uses less digits than its factorization.

6145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6145440 is about 2478.9997983058. Note that the first 3 decimals coincide. The cubic root of 6145440 is about 183.1685866188.

Subtracting from 6145440 its sum of digits (24), we obtain a palindrome (6145416).

The spelling of 6145440 in words is "six million, one hundred forty-five thousand, four hundred forty".