32786964 has 96 divisors (see below), whose sum is σ = 100352000. Its totient is φ = 9059040.

The previous prime is 32786959. The next prime is 32786969. The reversal of 32786964 is 46968723.

It is an interprime number because it is at equal distance from previous prime (32786959) and next prime (32786969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32786969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22737 + ... + 24135.

Almost surely, 2^32786964 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 32786964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50176000).

32786964 is an abundant number, since it is smaller than the sum of its proper divisors (67565036).

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

32786964 is a wasteful number, since it uses less digits than its factorization.

32786964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1442 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 32786964 is about 5725.9902200405. The cubic root of 32786964 is about 320.0617198659.

The spelling of 32786964 in words is "thirty-two million, seven hundred eighty-six thousand, nine hundred sixty-four".