1011719680 has 80 divisors (see below), whose sum is σ = 2438553744. Its totient is φ = 402554880.

The previous prime is 1011719677. The next prime is 1011719707. The reversal of 1011719680 is 869171101.

It is a tau number, because it is divible by the number of its divisors (80).

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 7 ways as a sum of consecutive naturals, for example, 539224 + ... + 541096.

Almost surely, 2^1011719680 is an apocalyptic number.

1011719680 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 1011719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219276872).

1011719680 is an abundant number, since it is smaller than the sum of its proper divisors (1426834064).

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

1011719680 is an equidigital number, since it uses as much as digits as its factorization.

1011719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2107 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 34.

The square root of 1011719680 is about 31807.5412441767. The cubic root of 1011719680 is about 1003.8913973840.

The spelling of 1011719680 in words is "one billion, eleven million, seven hundred nineteen thousand, six hundred eighty".