8532960 has 96 divisors (see below), whose sum is σ = 27851040. Its totient is φ = 2193408.

The previous prime is 8532943. The next prime is 8532971. The reversal of 8532960 is 692358.

It is a happy number.

8532960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8532960² = 145622812723200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13614 + ... + 14226.

It is an arithmetic number, because the mean of its divisors is an integer number (290115).

Almost surely, 2^8532960 is an apocalyptic number.

8532960 is a gapful number since it is divisible by the number (80) 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 8532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925520).

8532960 is an abundant number, since it is smaller than the sum of its proper divisors (19318080).

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

8532960 is a wasteful number, since it uses less digits than its factorization.

8532960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 8532960 is about 2921.1230716969. The cubic root of 8532960 is about 204.3462018359.

The spelling of 8532960 in words is "eight million, five hundred thirty-two thousand, nine hundred sixty".