32042010 has 192 divisors, whose sum is σ = 105106176. Its totient is φ = 6082560.

The previous prime is 32041981. The next prime is 32042077. The reversal of 32042010 is 1024023.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 330282 + ... + 330378.

It is an arithmetic number, because the mean of its divisors is an integer number (547428).

Almost surely, 2^32042010 is an apocalyptic number.

32042010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32042010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52553088).

32042010 is an abundant number, since it is smaller than the sum of its proper divisors (73064166).

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

32042010 is a wasteful number, since it uses less digits than its factorization.

32042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 32042010 is about 5660.5662260943. The cubic root of 32042010 is about 317.6190803042.

Adding to 32042010 its reverse (1024023), we get a palindrome (33066033).

The spelling of 32042010 in words is "thirty-two million, forty-two thousand, ten".