32142464 has 32 divisors (see below), whose sum is σ = 64496640. Its totient is φ = 15955200.

The previous prime is 32142463. The next prime is 32142491. The reversal of 32142464 is 46424123.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (32142463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18497 + ... + 20159.

It is an arithmetic number, because the mean of its divisors is an integer number (2015520).

Almost surely, 2^32142464 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 32142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32248320).

32142464 is an abundant number, since it is smaller than the sum of its proper divisors (32354176).

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

32142464 is a wasteful number, since it uses less digits than its factorization.

32142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 32142464 is about 5669.4324230914. The cubic root of 32142464 is about 317.9506535773.

Adding to 32142464 its reverse (46424123), we get a palindrome (78566587).

The spelling of 32142464 in words is "thirty-two million, one hundred forty-two thousand, four hundred sixty-four".