7535840 has 48 divisors (see below), whose sum is σ = 19178208. Its totient is φ = 2781696.

The previous prime is 7535813. The next prime is 7535849. The reversal of 7535840 is 485357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 7535797 and 7535806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7535849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269 + ... + 3891.

It is an arithmetic number, because the mean of its divisors is an integer number (399546).

Almost surely, 2^7535840 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 7535840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9589104).

7535840 is an abundant number, since it is smaller than the sum of its proper divisors (11642368).

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

7535840 is a wasteful number, since it uses less digits than its factorization.

7535840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3651 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 7535840 is about 2745.1484477164. The cubic root of 7535840 is about 196.0546841724.

The spelling of 7535840 in words is "seven million, five hundred thirty-five thousand, eight hundred forty".