6306040 has 64 divisors (see below), whose sum is σ = 15593760. Its totient is φ = 2280960.

The previous prime is 6306029. The next prime is 6306049. The reversal of 6306040 is 406036.

It is a happy number.

It is a super-2 number, since 2×6306040² = 79532280963200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 6305999 and 6306017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6306049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34750 + ... + 34930.

Almost surely, 2^6306040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796880).

6306040 is an abundant number, since it is smaller than the sum of its proper divisors (9287720).

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

6306040 is a wasteful number, since it uses less digits than its factorization.

6306040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 6306040 is about 2511.1829881552. The cubic root of 6306040 is about 184.7504792881.

It can be divided in two parts, 630 and 6040, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 6306040 in words is "six million, three hundred six thousand, forty".