32896640 has 96 divisors (see below), whose sum is σ = 91570500. Its totient is φ = 11268096.

The previous prime is 32896639. The next prime is 32896651. The reversal of 32896640 is 4669823.

It can be written as a sum of positive squares in 2 ways, for example, as 31990336 + 906304 = 5656^2 + 952^2 .

It is a junction number, because it is equal to n+sod(n) for n = 32896594 and 32896603.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30836 + ... + 31884.

Almost surely, 2^32896640 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 32896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45785250).

32896640 is an abundant number, since it is smaller than the sum of its proper divisors (58673860).

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

32896640 is a wasteful number, since it uses less digits than its factorization.

32896640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 32896640 is about 5735.5592578231. The cubic root of 32896640 is about 320.4182032184.

The spelling of 32896640 in words is "thirty-two million, eight hundred ninety-six thousand, six hundred forty".