32042000 has 80 divisors (see below), whose sum is σ = 79755312. Its totient is φ = 12441600.

The previous prime is 32041981. The next prime is 32042077. The reversal of 32042000 is 24023.

It can be written as a sum of positive squares in 8 ways, for example, as 10214416 + 21827584 = 3196^2 + 4672^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 73784 + ... + 74216.

Almost surely, 2^32042000 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 32042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39877656).

32042000 is an abundant number, since it is smaller than the sum of its proper divisors (47713312).

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

32042000 is a wasteful number, since it uses less digits than its factorization.

32042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 32042000 is about 5660.5653427904. The cubic root of 32042000 is about 317.6190472623.

Adding to 32042000 its reverse (24023), we get a palindrome (32066023).

The spelling of 32042000 in words is "thirty-two million, forty-two thousand", and thus it is an eban number.