7648368 has 160 divisors (see below), whose sum is σ = 25998336. Its totient is φ = 1880064.

The previous prime is 7648349. The next prime is 7648369. The reversal of 7648368 is 8638467.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7648369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74205 + ... + 74307.

Almost surely, 2^7648368 is an apocalyptic number.

7648368 is a gapful number since it is divisible by the number (78) 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 7648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12999168).

7648368 is an abundant number, since it is smaller than the sum of its proper divisors (18349968).

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

7648368 is a wasteful number, since it uses less digits than its factorization.

7648368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 7648368 is about 2765.5682960289. The cubic root of 7648368 is about 197.0257209152.

Subtracting 7648368 from its reverse (8638467), we obtain a palindrome (990099).

The spelling of 7648368 in words is "seven million, six hundred forty-eight thousand, three hundred sixty-eight".