32501664 has 72 divisors (see below), whose sum is σ = 99547812. Its totient is φ = 9999360.

The previous prime is 32501641. The next prime is 32501681. The reversal of 32501664 is 46610523.

It can be written as a sum of positive squares in 2 ways, for example, as 32490000 + 11664 = 5700^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597 + ... + 8084.

Almost surely, 2^32501664 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 32501664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49773906).

32501664 is an abundant number, since it is smaller than the sum of its proper divisors (67046148).

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

32501664 is a wasteful number, since it uses less digits than its factorization.

32501664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8710 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 32501664 is about 5701.0230660821. The cubic root of 32501664 is about 319.1306612537.

The spelling of 32501664 in words is "thirty-two million, five hundred one thousand, six hundred sixty-four".