7533064 has 48 divisors (see below), whose sum is σ = 17934480. Its totient is φ = 2933280.

The previous prime is 7533047. The next prime is 7533067. The reversal of 7533064 is 4603357.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (7533067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3439 + ... + 5185.

It is an arithmetic number, because the mean of its divisors is an integer number (373635).

Almost surely, 2^7533064 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 7533064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967240).

7533064 is an abundant number, since it is smaller than the sum of its proper divisors (10401416).

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

7533064 is a wasteful number, since it uses less digits than its factorization.

7533064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1767 counting only the distinct ones).

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

The square root of 7533064 is about 2744.6427818570. The cubic root of 7533064 is about 196.0306074650.

The spelling of 7533064 in words is "seven million, five hundred thirty-three thousand, sixty-four".