1032267648 has 64 divisors (see below), whose sum is σ = 2768688000. Its totient is φ = 340735488.

The previous prime is 1032267647. The next prime is 1032267653. The reversal of 1032267648 is 8467622301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032267647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26503 + ... + 52601.

It is an arithmetic number, because the mean of its divisors is an integer number (43260750).

Almost surely, 2^1032267648 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 1032267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384344000).

1032267648 is an abundant number, since it is smaller than the sum of its proper divisors (1736420352).

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

1032267648 is a wasteful number, since it uses less digits than its factorization.

1032267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26219 (or 26207 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 1032267648 is about 32128.9222975188. The cubic root of 1032267648 is about 1010.6422239672.

Adding to 1032267648 its reverse (8467622301), we get a palindrome (9499889949).

The spelling of 1032267648 in words is "one billion, thirty-two million, two hundred sixty-seven thousand, six hundred forty-eight".