32114020 has 48 divisors (see below), whose sum is σ = 73891440. Its totient is φ = 11669504.

The previous prime is 32114011. The next prime is 32114021. The reversal of 32114020 is 2041123.

It can be written as a sum of positive squares in 8 ways, for example, as 2585664 + 29528356 = 1608^2 + 5434^2 .

It is not an unprimeable number, because it can be changed into a prime (32114021) 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 15 ways as a sum of consecutive naturals, for example, 8232 + ... + 11488.

It is an arithmetic number, because the mean of its divisors is an integer number (1539405).

Almost surely, 2^32114020 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 32114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36945720).

32114020 is an abundant number, since it is smaller than the sum of its proper divisors (41777420).

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

32114020 is a wasteful number, since it uses less digits than its factorization.

32114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 32114020 is about 5666.9233275209. The cubic root of 32114020 is about 317.8568373158.

Adding to 32114020 its reverse (2041123), we get a palindrome (34155143).

It can be divided in two parts, 321 and 14020, that added together give a palindrome (14341).

The spelling of 32114020 in words is "thirty-two million, one hundred fourteen thousand, twenty".