1032264880 has 80 divisors (see below), whose sum is σ = 2479260960. Its totient is φ = 399458304.

The previous prime is 1032264869. The next prime is 1032264881. The reversal of 1032264880 is 884622301.

1032264880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1032264881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373584 + ... + 376336.

It is an arithmetic number, because the mean of its divisors is an integer number (30990762).

Almost surely, 2^1032264880 is an apocalyptic number.

1032264880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032264880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239630480).

1032264880 is an abundant number, since it is smaller than the sum of its proper divisors (1446996080).

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

1032264880 is a wasteful number, since it uses less digits than its factorization.

1032264880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2918 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1032264880 is about 32128.8792210373. The cubic root of 1032264880 is about 1010.6413206290.

The spelling of 1032264880 in words is "one billion, thirty-two million, two hundred sixty-four thousand, eight hundred eighty".