32436864 has 96 divisors (see below), whose sum is σ = 95989140. Its totient is φ = 10506240.

The previous prime is 32436839. The next prime is 32436869. The reversal of 32436864 is 46863423.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31809600 + 627264 = 5640^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32436869) 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 11 ways as a sum of consecutive naturals, for example, 42244 + ... + 43004.

Almost surely, 2^32436864 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 32436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47994570).

32436864 is an abundant number, since it is smaller than the sum of its proper divisors (63552276).

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

32436864 is a wasteful number, since it uses less digits than its factorization.

32436864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 803 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 32436864 is about 5695.3370400706. The cubic root of 32436864 is about 318.9184318592.

It can be divided in two parts, 324 and 36864, that multiplied together give a square (11943936 = 3456²).

The spelling of 32436864 in words is "thirty-two million, four hundred thirty-six thousand, eight hundred sixty-four".