7851648 has 128 divisors (see below), whose sum is σ = 25067520. Its totient is φ = 2128896.

The previous prime is 7851647. The next prime is 7851653. The reversal of 7851648 is 8461587.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7851643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61761 + ... + 61887.

It is an arithmetic number, because the mean of its divisors is an integer number (195840).

Almost surely, 2^7851648 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 7851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533760).

7851648 is an abundant number, since it is smaller than the sum of its proper divisors (17215872).

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

7851648 is a wasteful number, since it uses less digits than its factorization.

7851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 7851648 is about 2802.0792280019. The cubic root of 7851648 is about 198.7560118430.

The spelling of 7851648 in words is "seven million, eight hundred fifty-one thousand, six hundred forty-eight".