32763648 has 72 divisors (see below), whose sum is σ = 89633488. Its totient is φ = 10616832.

The previous prime is 32763637. The next prime is 32763673. The reversal of 32763648 is 84636723.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27840 + ... + 28992.

Almost surely, 2^32763648 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 32763648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44816744).

32763648 is an abundant number, since it is smaller than the sum of its proper divisors (56869840).

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

32763648 is a wasteful number, since it uses less digits than its factorization.

32763648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1195 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 32763648 is about 5723.9538782209. The cubic root of 32763648 is about 319.9858327061.

It can be divided in two parts, 32763 and 648, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 32763648 in words is "thirty-two million, seven hundred sixty-three thousand, six hundred forty-eight".