1001959680 has 288 divisors, whose sum is σ = 3484938240. Its totient is φ = 244408320.

The previous prime is 1001959643. The next prime is 1001959697. The reversal of 1001959680 is 869591001.

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 31 ways as a sum of consecutive naturals, for example, 2261539 + ... + 2261981.

It is an arithmetic number, because the mean of its divisors is an integer number (12100480).

Almost surely, 2^1001959680 is an apocalyptic number.

1001959680 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 1001959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742469120).

1001959680 is an abundant number, since it is smaller than the sum of its proper divisors (2482978560).

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

1001959680 is a wasteful number, since it uses less digits than its factorization.

1001959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The square root of 1001959680 is about 31653.7466976660. The cubic root of 1001959680 is about 1000.6528004255.

The spelling of 1001959680 in words is "one billion, one million, nine hundred fifty-nine thousand, six hundred eighty".