32461000 has 128 divisors (see below), whose sum is σ = 89631360. Its totient is φ = 10848000.

The previous prime is 32460943. The next prime is 32461003. The reversal of 32461000 is 16423.

It is not an unprimeable number, because it can be changed into a prime (32461003) 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 31 ways as a sum of consecutive naturals, for example, 142887 + ... + 143113.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^32461000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44815680).

32461000 is an abundant number, since it is smaller than the sum of its proper divisors (57170360).

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

32461000 is a wasteful number, since it uses less digits than its factorization.

32461000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 32461000 is about 5697.4555724464. The cubic root of 32461000 is about 318.9975137629.

Adding to 32461000 its reverse (16423), we get a palindrome (32477423).

The spelling of 32461000 in words is "thirty-two million, four hundred sixty-one thousand".