6387480 has 96 divisors (see below), whose sum is σ = 22660560. Its totient is φ = 1547520.

The previous prime is 6387463. The next prime is 6387487. The reversal of 6387480 is 847836.

6387480 = 147² + 148² + ... + 281².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6387487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3154 + ... + 4766.

Almost surely, 2^6387480 is an apocalyptic number.

6387480 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 6387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11330280).

6387480 is an abundant number, since it is smaller than the sum of its proper divisors (16273080).

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

6387480 is a wasteful number, since it uses less digits than its factorization.

6387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6387480 is about 2527.3464345040. The cubic root of 6387480 is about 185.5424062034.

It can be divided in two parts, 638 and 7480, that added together give a palindrome (8118).

The spelling of 6387480 in words is "six million, three hundred eighty-seven thousand, four hundred eighty".