32000268 has 54 divisors (see below), whose sum is σ = 79169692. Its totient is φ = 10059280.

The previous prime is 32000263. The next prime is 32000281. The reversal of 32000268 is 86200023.

It is a super-4 number, since 4×32000268⁴ (a number of 31 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (32000263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450673 + ... + 450743.

Almost surely, 2^32000268 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 32000268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584846).

32000268 is an abundant number, since it is smaller than the sum of its proper divisors (47169424).

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

32000268 is a wasteful number, since it uses less digits than its factorization.

32000268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 32000268 is about 5656.8779375200. The cubic root of 32000268 is about 317.4810966901.

The spelling of 32000268 in words is "thirty-two million, two hundred sixty-eight", and thus it is an aban number.