6132840 has 128 divisors (see below), whose sum is σ = 21600000. Its totient is φ = 1392384.

The previous prime is 6132829. The next prime is 6132851. The reversal of 6132840 is 482316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6132829) and next prime (6132851).

It is a super-2 number, since 2×6132840² = 75223452931200, which contains 22 as substring.

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 6132840.

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 31 ways as a sum of consecutive naturals, for example, 41086 + ... + 41234.

It is an arithmetic number, because the mean of its divisors is an integer number (168750).

Almost surely, 2^6132840 is an apocalyptic number.

6132840 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 6132840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10800000).

6132840 is an abundant number, since it is smaller than the sum of its proper divisors (15467160).

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

6132840 is a wasteful number, since it uses less digits than its factorization.

6132840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6132840 is about 2476.4571468128. The cubic root of 6132840 is about 183.0433174055.

The spelling of 6132840 in words is "six million, one hundred thirty-two thousand, eight hundred forty".