1005122880 has 168 divisors, whose sum is σ = 3472964352. Its totient is φ = 266812416.

The previous prime is 1005122851. The next prime is 1005122891. The reversal of 1005122880 is 882215001.

It is a congruent number.

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, 756777 + ... + 758103.

Almost surely, 2^1005122880 is an apocalyptic number.

1005122880 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 1005122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736482176).

1005122880 is an abundant number, since it is smaller than the sum of its proper divisors (2467841472).

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

1005122880 is a wasteful number, since it uses less digits than its factorization.

1005122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1005122880 is about 31703.6729733323. The cubic root of 1005122880 is about 1001.7047189486.

Adding to 1005122880 its reverse (882215001), we get a palindrome (1887337881).

The spelling of 1005122880 in words is "one billion, five million, one hundred twenty-two thousand, eight hundred eighty".