6627984 has 40 divisors (see below), whose sum is σ = 18680352. Its totient is φ = 2008320.

The previous prime is 6627949. The next prime is 6627989. The reversal of 6627984 is 4897266.

It is a d-powerful number, because it can be written as 6⁴ + 6⁸ + 2¹⁷ + 7 + 9⁷ + 8⁵ + 4⁴ .

It is not an unprimeable number, because it can be changed into a prime (6627989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749 + ... + 6804.

Almost surely, 2^6627984 is an apocalyptic number.

It is an amenable number.

6627984 is an abundant number, since it is smaller than the sum of its proper divisors (12052368).

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

6627984 is a wasteful number, since it uses less digits than its factorization.

6627984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12569 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 6627984 is about 2574.4871333918. The cubic root of 6627984 is about 187.8424816085.

It can be divided in two parts, 662 and 7984, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 6627984 in words is "six million, six hundred twenty-seven thousand, nine hundred eighty-four".