32538990 has 64 divisors (see below), whose sum is σ = 85888512. Its totient is φ = 7824000.

The previous prime is 32538983. The next prime is 32538991. The reversal of 32538990 is 9983523.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32538991) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49504 + ... + 50156.

It is an arithmetic number, because the mean of its divisors is an integer number (1342008).

Almost surely, 2^32538990 is an apocalyptic number.

32538990 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 32538990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42944256).

32538990 is an abundant number, since it is smaller than the sum of its proper divisors (53349522).

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

32538990 is a wasteful number, since it uses less digits than its factorization.

32538990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825.

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 32538990 is about 5704.2957496960. The cubic root of 32538990 is about 319.2527812983.

The spelling of 32538990 in words is "thirty-two million, five hundred thirty-eight thousand, nine hundred ninety".