6131040 has 96 divisors (see below), whose sum is σ = 19758816. Its totient is φ = 1597440.

The previous prime is 6131039. The next prime is 6131057. The reversal of 6131040 is 401316.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 25320 + ... + 25560.

It is an arithmetic number, because the mean of its divisors is an integer number (205821).

Almost surely, 2^6131040 is an apocalyptic number.

6131040 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 6131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879408).

6131040 is an abundant number, since it is smaller than the sum of its proper divisors (13627776).

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

6131040 is a wasteful number, since it uses less digits than its factorization.

6131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 6131040 is about 2476.0936977425. The cubic root of 6131040 is about 183.0254078013.

Adding to 6131040 its reverse (401316), we get a palindrome (6532356).

It can be divided in two parts, 613 and 1040, that added together give a triangular number (1653 = T₅₇).

The spelling of 6131040 in words is "six million, one hundred thirty-one thousand, forty".