32564430 has 64 divisors (see below), whose sum is σ = 87969600. Its totient is φ = 8678016.

The previous prime is 32564417. The next prime is 32564437. The reversal of 32564430 is 3446523.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32564394 and 32564403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32564437) 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, 21126 + ... + 22614.

It is an arithmetic number, because the mean of its divisors is an integer number (1374525).

Almost surely, 2^32564430 is an apocalyptic number.

32564430 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 32564430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43984800).

32564430 is an abundant number, since it is smaller than the sum of its proper divisors (55405170).

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

32564430 is an equidigital number, since it uses as much as digits as its factorization.

32564430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 32564430 is about 5706.5252124213. The cubic root of 32564430 is about 319.3359602277.

The spelling of 32564430 in words is "thirty-two million, five hundred sixty-four thousand, four hundred thirty".