32340960 has 144 divisors (see below), whose sum is σ = 113533056. Its totient is φ = 8377344.

The previous prime is 32340949. The next prime is 32340961. The reversal of 32340960 is 6904323.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32340961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52977 + ... + 53583.

It is an arithmetic number, because the mean of its divisors is an integer number (788424).

Almost surely, 2^32340960 is an apocalyptic number.

32340960 is a gapful number since it is divisible by the number (30) 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 32340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56766528).

32340960 is an abundant number, since it is smaller than the sum of its proper divisors (81192096).

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

32340960 is a wasteful number, since it uses less digits than its factorization.

32340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 32340960 is about 5686.9112882126. The cubic root of 32340960 is about 318.6038130113.

The spelling of 32340960 in words is "thirty-two million, three hundred forty thousand, nine hundred sixty".