1017962880 has 256 divisors, whose sum is σ = 3573884160. Its totient is φ = 244408320.

The previous prime is 1017962863. The next prime is 1017962887. The reversal of 1017962880 is 882697101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1017962887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3315687 + ... + 3315993.

It is an arithmetic number, because the mean of its divisors is an integer number (13960485).

Almost surely, 2^1017962880 is an apocalyptic number.

1017962880 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 1017962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786942080).

1017962880 is an abundant number, since it is smaller than the sum of its proper divisors (2555921280).

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

1017962880 is a wasteful number, since it uses less digits than its factorization.

1017962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1017962880 is about 31905.5305550621. The cubic root of 1017962880 is about 1005.9521285421.

The spelling of 1017962880 in words is "one billion, seventeen million, nine hundred sixty-two thousand, eight hundred eighty".