1017640960 has 96 divisors (see below), whose sum is σ = 2790758880. Its totient is φ = 348880896.

The previous prime is 1017640919. The next prime is 1017641047. The reversal of 1017640960 is 690467101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64582 + ... + 78778.

It is an arithmetic number, because the mean of its divisors is an integer number (29070405).

Almost surely, 2^1017640960 is an apocalyptic number.

1017640960 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 1017640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395379440).

1017640960 is an abundant number, since it is smaller than the sum of its proper divisors (1773117920).

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

1017640960 is an equidigital number, since it uses as much as digits as its factorization.

1017640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14231 (or 14211 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1017640960 is about 31900.4852627668. The cubic root of 1017640960 is about 1005.8460767865.

The spelling of 1017640960 in words is "one billion, seventeen million, six hundred forty thousand, nine hundred sixty".