32920038 has 48 divisors (see below), whose sum is σ = 75119616. Its totient is φ = 10398960.

The previous prime is 32920037. The next prime is 32920039. The reversal of 32920038 is 83002923.

It is an interprime number because it is at equal distance from previous prime (32920037) and next prime (32920039).

It is a junction number, because it is equal to n+sod(n) for n = 32919993 and 32920020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32920031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53931 + ... + 54537.

It is an arithmetic number, because the mean of its divisors is an integer number (1564992).

Almost surely, 2^32920038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32920038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37559808).

32920038 is an abundant number, since it is smaller than the sum of its proper divisors (42199578).

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

32920038 is a wasteful number, since it uses less digits than its factorization.

32920038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 32920038 is about 5737.5986266033. The cubic root of 32920038 is about 320.4941518903.

The spelling of 32920038 in words is "thirty-two million, nine hundred twenty thousand, thirty-eight".