6126840 has 160 divisors (see below), whose sum is σ = 21605760. Its totient is φ = 1555200.

The previous prime is 6126839. The next prime is 6126847. The reversal of 6126840 is 486216.

6126840 = 47³ + 48³ + ... + 73³.

6126840 is a `hidden beast` number, since 612 + 6 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6126847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100410 + ... + 100470.

It is an arithmetic number, because the mean of its divisors is an integer number (135036).

Almost surely, 2^6126840 is an apocalyptic number.

6126840 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 6126840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802880).

6126840 is an abundant number, since it is smaller than the sum of its proper divisors (15478920).

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

6126840 is a wasteful number, since it uses less digits than its factorization.

6126840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6126840 is about 2475.2454423754. The cubic root of 6126840 is about 182.9836050886.

The spelling of 6126840 in words is "six million, one hundred twenty-six thousand, eight hundred forty".