6417648 has 60 divisors (see below), whose sum is σ = 18415488. Its totient is φ = 2085120.

The previous prime is 6417629. The next prime is 6417659. The reversal of 6417648 is 8467146.

6417648 is a `hidden beast` number, since 6 + 4 + 1 + 7 + 648 = 666.

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

It is a congruent number.

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, 5361 + ... + 6447.

Almost surely, 2^6417648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207744).

6417648 is an abundant number, since it is smaller than the sum of its proper divisors (11997840).

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

6417648 is a wasteful number, since it uses less digits than its factorization.

6417648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1133 counting only the distinct ones).

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

The square root of 6417648 is about 2533.3077191688. The cubic root of 6417648 is about 185.8340524727.

The spelling of 6417648 in words is "six million, four hundred seventeen thousand, six hundred forty-eight".