6179040 has 144 divisors (see below), whose sum is σ = 24137568. Its totient is φ = 1410048.

The previous prime is 6179023. The next prime is 6179053. The reversal of 6179040 is 409716.

6179040 is a `hidden beast` number, since 617 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6178995 and 6179013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9774 + ... + 10386.

It is an arithmetic number, because the mean of its divisors is an integer number (167622).

Almost surely, 2^6179040 is an apocalyptic number.

6179040 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 6179040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068784).

6179040 is an abundant number, since it is smaller than the sum of its proper divisors (17958528).

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

6179040 is a wasteful number, since it uses less digits than its factorization.

6179040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6179040 is about 2485.7674871154. The cubic root of 6179040 is about 183.5018029011.

The spelling of 6179040 in words is "six million, one hundred seventy-nine thousand, forty".