32398560 has 144 divisors (see below), whose sum is σ = 112039200. Its totient is φ = 8524800.

The previous prime is 32398543. The next prime is 32398567. The reversal of 32398560 is 6589323.

32398560 is a `hidden beast` number, since 3 + 2 + 3 + 98 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32398567) 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, 214485 + ... + 214635.

It is an arithmetic number, because the mean of its divisors is an integer number (778050).

Almost surely, 2^32398560 is an apocalyptic number.

32398560 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 32398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56019600).

32398560 is an abundant number, since it is smaller than the sum of its proper divisors (79640640).

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

32398560 is a wasteful number, since it uses less digits than its factorization.

32398560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 32398560 is about 5691.9732957912. The cubic root of 32398560 is about 318.7928477578.

The spelling of 32398560 in words is "thirty-two million, three hundred ninety-eight thousand, five hundred sixty".