6307440 has 80 divisors (see below), whose sum is σ = 20061216. Its totient is φ = 1638400.

The previous prime is 6307429. The next prime is 6307453. The reversal of 6307440 is 447036.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6307440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9520 + ... + 10160.

Almost surely, 2^6307440 is an apocalyptic number.

6307440 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 6307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030608).

6307440 is an abundant number, since it is smaller than the sum of its proper divisors (13753776).

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

6307440 is a wasteful number, since it uses less digits than its factorization.

6307440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 6307440 is about 2511.4617257685. The cubic root of 6307440 is about 184.7641503893.

The spelling of 6307440 in words is "six million, three hundred seven thousand, four hundred forty".