32740560 has 120 divisors (see below), whose sum is σ = 113017320. Its totient is φ = 8487936.

The previous prime is 32740549. The next prime is 32740567. The reversal of 32740560 is 6504723.

It is a happy number.

32740560 is a `hidden beast` number, since 32 + 74 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 13133376 = 4428^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×32740560² = 2143888538227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32740567) 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 23 ways as a sum of consecutive naturals, for example, 26026 + ... + 27254.

It is an arithmetic number, because the mean of its divisors is an integer number (941811).

Almost surely, 2^32740560 is an apocalyptic number.

32740560 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 32740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56508660).

32740560 is an abundant number, since it is smaller than the sum of its proper divisors (80276760).

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

32740560 is a wasteful number, since it uses less digits than its factorization.

32740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 32740560 is about 5721.9367350575. The cubic root of 32740560 is about 319.9106521387.

The spelling of 32740560 in words is "thirty-two million, seven hundred forty thousand, five hundred sixty".