6308640 has 144 divisors (see below), whose sum is σ = 23253048. Its totient is φ = 1548288.

The previous prime is 6308639. The next prime is 6308641. The reversal of 6308640 is 468036.

It is an interprime number because it is at equal distance from previous prime (6308639) and next prime (6308641).

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 3111696 = 1788^2 + 1764^2 .

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 not an unprimeable number, because it can be changed into a prime (6308641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18552 + ... + 18888.

Almost surely, 2^6308640 is an apocalyptic number.

6308640 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 6308640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11626524).

6308640 is an abundant number, since it is smaller than the sum of its proper divisors (16944408).

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

6308640 is a wasteful number, since it uses less digits than its factorization.

6308640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6308640 is about 2511.7006191025. The cubic root of 6308640 is about 184.7758668660.

The spelling of 6308640 in words is "six million, three hundred eight thousand, six hundred forty".