32724640 has 48 divisors (see below), whose sum is σ = 83264328. Its totient is φ = 12082176.

The previous prime is 32724589. The next prime is 32724647. The reversal of 32724640 is 4642723.

It can be written as a sum of positive squares in 4 ways, for example, as 13046544 + 19678096 = 3612^2 + 4436^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32724599 and 32724608.

It is not an unprimeable number, because it can be changed into a prime (32724647) 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 7 ways as a sum of consecutive naturals, for example, 5787 + ... + 9946.

Almost surely, 2^32724640 is an apocalyptic number.

It is an amenable number.

32724640 is an abundant number, since it is smaller than the sum of its proper divisors (50539688).

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

32724640 is a wasteful number, since it uses less digits than its factorization.

32724640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15761 (or 15753 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 32724640 is about 5720.5454285409. The cubic root of 32724640 is about 319.8587918642.

The spelling of 32724640 in words is "thirty-two million, seven hundred twenty-four thousand, six hundred forty".