6295680 has 96 divisors (see below), whose sum is σ = 21759660. Its totient is φ = 1677312.

The previous prime is 6295657. The next prime is 6295687. The reversal of 6295680 is 865926.

It can be written as a sum of positive squares in 2 ways, for example, as 5875776 + 419904 = 2424^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6295687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5214 + ... + 6306.

Almost surely, 2^6295680 is an apocalyptic number.

6295680 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 6295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879830).

6295680 is an abundant number, since it is smaller than the sum of its proper divisors (15463980).

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

6295680 is a wasteful number, since it uses less digits than its factorization.

6295680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6295680 is about 2509.1193674275. The cubic root of 6295680 is about 184.6492501976.

It can be divided in two parts, 62956 and 80, that added together give a palindrome (63036).

The spelling of 6295680 in words is "six million, two hundred ninety-five thousand, six hundred eighty".