6627348 has 162 divisors, whose sum is σ = 22293726. Its totient is φ = 1645056.

The previous prime is 6627347. The next prime is 6627349. The reversal of 6627348 is 8437266.

It is an interprime number because it is at equal distance from previous prime (6627347) and next prime (6627349).

It can be written as a sum of positive squares in 3 ways, for example, as 1483524 + 5143824 = 1218^2 + 2268^2 .

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

Its product of digits (48384) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6627343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 389836 + ... + 389852.

Almost surely, 2^6627348 is an apocalyptic number.

6627348 is a gapful number since it is divisible by the number (68) 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 6627348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11146863).

6627348 is an abundant number, since it is smaller than the sum of its proper divisors (15666378).

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

6627348 is a wasteful number, since it uses less digits than its factorization.

6627348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 42 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 6627348 is about 2574.3636106813. The cubic root of 6627348 is about 187.8364731631.

The spelling of 6627348 in words is "six million, six hundred twenty-seven thousand, three hundred forty-eight".