32505564 has 144 divisors (see below), whose sum is σ = 100126208. Its totient is φ = 7990272.

The previous prime is 32505563. The next prime is 32505569. The reversal of 32505564 is 46550523.

It is a super-2 number, since 2×32505564² = 2113223381916192, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32505563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315537 + ... + 315639.

Almost surely, 2^32505564 is an apocalyptic number.

32505564 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32505564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50063104).

32505564 is an abundant number, since it is smaller than the sum of its proper divisors (67620644).

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

32505564 is a wasteful number, since it uses less digits than its factorization.

32505564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 32505564 is about 5701.3650996932. The cubic root of 32505564 is about 319.1434253161.

The spelling of 32505564 in words is "thirty-two million, five hundred five thousand, five hundred sixty-four".