1011332880 has 120 divisors (see below), whose sum is σ = 3405317760. Its totient is φ = 268980480.

The previous prime is 1011332879. The next prime is 1011332891. The reversal of 1011332880 is 882331101.

1011332880 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 (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308691 + ... + 311949.

It is an arithmetic number, because the mean of its divisors is an integer number (28377648).

Almost surely, 2^1011332880 is an apocalyptic number.

1011332880 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 1011332880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702658880).

1011332880 is an abundant number, since it is smaller than the sum of its proper divisors (2393984880).

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

1011332880 is a wasteful number, since it uses less digits than its factorization.

1011332880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3709 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1011332880 is about 31801.4603438270. The cubic root of 1011332880 is about 1003.7634453777.

Adding to 1011332880 its reverse (882331101), we get a palindrome (1893663981).

The spelling of 1011332880 in words is "one billion, eleven million, three hundred thirty-two thousand, eight hundred eighty".