7551648 has 72 divisors (see below), whose sum is σ = 23138388. Its totient is φ = 2322432.

The previous prime is 7551647. The next prime is 7551653. The reversal of 7551648 is 8461557.

7551648 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 648 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 144 = 2748^2 + 12^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (7551647) 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 11 ways as a sum of consecutive naturals, for example, 2736 + ... + 4752.

Almost surely, 2^7551648 is an apocalyptic number.

7551648 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 7551648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569194).

7551648 is an abundant number, since it is smaller than the sum of its proper divisors (15586740).

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

7551648 is a wasteful number, since it uses less digits than its factorization.

7551648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2035 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 7551648 is about 2748.0262007485. The cubic root of 7551648 is about 196.1916769905.

Subtracting 7551648 from its reverse (8461557), we obtain a palindrome (909909).

The spelling of 7551648 in words is "seven million, five hundred fifty-one thousand, six hundred forty-eight".