7641648 has 180 divisors, whose sum is σ = 26929080. Its totient is φ = 2068416.

The previous prime is 7641637. The next prime is 7641649. The reversal of 7641648 is 8461467.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7641648 is a `hidden beast` number, since 7 + 6 + 4 + 1 + 648 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7641649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402183 + ... + 402201.

It is an arithmetic number, because the mean of its divisors is an integer number (149606).

Almost surely, 2^7641648 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 7641648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13464540).

7641648 is an abundant number, since it is smaller than the sum of its proper divisors (19287432).

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

7641648 is a wasteful number, since it uses less digits than its factorization.

7641648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 31 counting only the distinct ones).

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

The square root of 7641648 is about 2764.3530888799. The cubic root of 7641648 is about 196.9680005056.

The spelling of 7641648 in words is "seven million, six hundred forty-one thousand, six hundred forty-eight".