32465664 has 288 divisors, whose sum is σ = 121658880. Its totient is φ = 8294400.

The previous prime is 32465651. The next prime is 32465669. The reversal of 32465664 is 46656423.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32465669) 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, 532194 + ... + 532254.

Almost surely, 2^32465664 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 32465664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60829440).

32465664 is an abundant number, since it is smaller than the sum of its proper divisors (89193216).

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

32465664 is a wasteful number, since it uses less digits than its factorization.

32465664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 32465664 is about 5697.8648632624. The cubic root of 32465664 is about 319.0127908971.

The spelling of 32465664 in words is "thirty-two million, four hundred sixty-five thousand, six hundred sixty-four".