32736564 has 72 divisors (see below), whose sum is σ = 97155968. Its totient is φ = 9097920.

The previous prime is 32736559. The next prime is 32736569. The reversal of 32736564 is 46563723.

It is an interprime number because it is at equal distance from previous prime (32736559) and next prime (32736569).

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 (32736569) 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 23 ways as a sum of consecutive naturals, for example, 7569 + ... + 11079.

Almost surely, 2^32736564 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 32736564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48577984).

32736564 is an abundant number, since it is smaller than the sum of its proper divisors (64419404).

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

32736564 is a wasteful number, since it uses less digits than its factorization.

32736564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3560 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 32736564 is about 5721.5875419327. The cubic root of 32736564 is about 319.8976365297.

The spelling of 32736564 in words is "thirty-two million, seven hundred thirty-six thousand, five hundred sixty-four".