7533460 has 48 divisors (see below), whose sum is σ = 17462592. Its totient is φ = 2729760.

The previous prime is 7533457. The next prime is 7533469. The reversal of 7533460 is 643357.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7533469) 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 15 ways as a sum of consecutive naturals, for example, 26479 + ... + 26761.

It is an arithmetic number, because the mean of its divisors is an integer number (363804).

Almost surely, 2^7533460 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 7533460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731296).

7533460 is an abundant number, since it is smaller than the sum of its proper divisors (9929132).

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

7533460 is a wasteful number, since it uses less digits than its factorization.

7533460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 7533460 is about 2744.7149214445. The cubic root of 7533460 is about 196.0340424002.

The spelling of 7533460 in words is "seven million, five hundred thirty-three thousand, four hundred sixty".