7533648 has 50 divisors (see below), whose sum is σ = 21808314. Its totient is φ = 2510784.

The previous prime is 7533641. The next prime is 7533653. The reversal of 7533648 is 8463357.

It is a happy number.

7533648 is a `hidden beast` number, since 7 + 5 + 3 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6906384 + 627264 = 2628^2 + 792^2 .

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

It is a d-powerful number, because it can be written as 7⁶ + 5³ + 3¹² + 3¹⁴ + 6³ + 4⁶ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7533641) 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 9 ways as a sum of consecutive naturals, for example, 1611 + ... + 4202.

Almost surely, 2^7533648 is an apocalyptic number.

It is an amenable number.

7533648 is an abundant number, since it is smaller than the sum of its proper divisors (14274666).

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

7533648 is a wasteful number, since it uses less digits than its factorization.

7533648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5818 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 7533648 is about 2744.7491688677. The cubic root of 7533648 is about 196.0356730849.

The spelling of 7533648 in words is "seven million, five hundred thirty-three thousand, six hundred forty-eight".