6121440 has 192 divisors, whose sum is σ = 23284800. Its totient is φ = 1492992.

The previous prime is 6121433. The next prime is 6121441. The reversal of 6121440 is 441216.

6121440 is a `hidden beast` number, since 612 + 14 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6121441) 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 31 ways as a sum of consecutive naturals, for example, 56106 + ... + 56214.

It is an arithmetic number, because the mean of its divisors is an integer number (121275).

Almost surely, 2^6121440 is an apocalyptic number.

6121440 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 6121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642400).

6121440 is an abundant number, since it is smaller than the sum of its proper divisors (17163360).

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

6121440 is a wasteful number, since it uses less digits than its factorization.

6121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6121440 is about 2474.1544010025. The cubic root of 6121440 is about 182.9298306629.

Adding to 6121440 its reverse (441216), we get a palindrome (6562656).

It can be divided in two parts, 6121 and 440, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6121440 in words is "six million, one hundred twenty-one thousand, four hundred forty".