6627456 has 96 divisors (see below), whose sum is σ = 20844720. Its totient is φ = 2004480.

The previous prime is 6627443. The next prime is 6627479. The reversal of 6627456 is 6547266.

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 a self number, because there is not a number n which added to its sum of digits gives 6627456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12411 + ... + 12933.

Almost surely, 2^6627456 is an apocalyptic number.

6627456 is a gapful number since it is divisible by the number (66) 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 6627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10422360).

6627456 is an abundant number, since it is smaller than the sum of its proper divisors (14217264).

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

6627456 is a wasteful number, since it uses less digits than its factorization.

6627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 6627456 is about 2574.3845866537. The cubic root of 6627456 is about 187.8374934923.

It can be divided in two parts, 662 and 7456, that added together give a palindrome (8118).

The spelling of 6627456 in words is "six million, six hundred twenty-seven thousand, four hundred fifty-six".