6120240 has 80 divisors (see below), whose sum is σ = 21689088. Its totient is φ = 1398528.

The previous prime is 6120229. The next prime is 6120251. The reversal of 6120240 is 420216.

It is an interprime number because it is at equal distance from previous prime (6120229) and next prime (6120251).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 142 + ... + 3501.

Almost surely, 2^6120240 is an apocalyptic number.

6120240 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 6120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10844544).

6120240 is an abundant number, since it is smaller than the sum of its proper divisors (15568848).

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

6120240 is a wasteful number, since it uses less digits than its factorization.

6120240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3666 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 6120240 is about 2473.9118820201. The cubic root of 6120240 is about 182.9178764963.

Adding to 6120240 its reverse (420216), we get a palindrome (6540456).

It can be divided in two parts, 61 and 20240, that added together give a triangular number (20301 = T₂₀₁).

The spelling of 6120240 in words is "six million, one hundred twenty thousand, two hundred forty".