32938640 has 80 divisors (see below), whose sum is σ = 88387200. Its totient is φ = 11182080.

The previous prime is 32938637. The next prime is 32938643. The reversal of 32938640 is 4683923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (32938637) and next prime (32938643).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 32938640.

It is not an unprimeable number, because it can be changed into a prime (32938643) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73136 + ... + 73584.

It is an arithmetic number, because the mean of its divisors is an integer number (1104840).

Almost surely, 2^32938640 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 32938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44193600).

32938640 is an abundant number, since it is smaller than the sum of its proper divisors (55448560).

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

32938640 is a wasteful number, since it uses less digits than its factorization.

32938640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 32938640 is about 5739.2194591251. The cubic root of 32938640 is about 320.5545073251.

The spelling of 32938640 in words is "thirty-two million, nine hundred thirty-eight thousand, six hundred forty".