6615648 has 192 divisors, whose sum is σ = 22579200. Its totient is φ = 1866240.

The previous prime is 6615643. The next prime is 6615649. The reversal of 6615648 is 8465166.

6615648 is a `hidden beast` number, since 6 + 6 + 1 + 5 + 648 = 666.

It is a super-3 number, since 3×6615648³ (a number of 21 digits) contains 333 as substring.

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 (6615641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213393 + ... + 213423.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^6615648 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 6615648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289600).

6615648 is an abundant number, since it is smaller than the sum of its proper divisors (15963552).

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

6615648 is a wasteful number, since it uses less digits than its factorization.

6615648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 68 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 6615648 is about 2572.0902005956. The cubic root of 6615648 is about 187.7258717944.

The spelling of 6615648 in words is "six million, six hundred fifteen thousand, six hundred forty-eight".