1048122880 has 160 divisors (see below), whose sum is σ = 2998093824. Its totient is φ = 343597056.

The previous prime is 1048122853. The next prime is 1048122917. The reversal of 1048122880 is 882218401.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410889 + ... + 413431.

Almost surely, 2^1048122880 is an apocalyptic number.

1048122880 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 1048122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499046912).

1048122880 is an abundant number, since it is smaller than the sum of its proper divisors (1949970944).

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

1048122880 is an equidigital number, since it uses as much as digits as its factorization.

1048122880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596 (or 2580 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 1048122880 is about 32374.7259447860. The cubic root of 1048122880 is about 1015.7903136411.

The spelling of 1048122880 in words is "one billion, forty-eight million, one hundred twenty-two thousand, eight hundred eighty".