32133020 has 48 divisors (see below), whose sum is σ = 69981408. Its totient is φ = 12384000.

The previous prime is 32133011. The next prime is 32133029. The reversal of 32133020 is 2033123.

It is an interprime number because it is at equal distance from previous prime (32133011) and next prime (32133029).

It is a junction number, because it is equal to n+sod(n) for n = 32132986 and 32133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32133029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127895 + ... + 128145.

It is an arithmetic number, because the mean of its divisors is an integer number (1457946).

Almost surely, 2^32133020 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 32133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34990704).

32133020 is an abundant number, since it is smaller than the sum of its proper divisors (37848388).

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

32133020 is a wasteful number, since it uses less digits than its factorization.

32133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 32133020 is about 5668.5994742970. The cubic root of 32133020 is about 317.9195107657.

Adding to 32133020 its reverse (2033123), we get a palindrome (34166143).

The spelling of 32133020 in words is "thirty-two million, one hundred thirty-three thousand, twenty".