1051719984 has 160 divisors (see below), whose sum is σ = 3464778240. Its totient is φ = 299213568.

The previous prime is 1051719967. The next prime is 1051719989. The reversal of 1051719984 is 4899171501.

It is a happy number.

It is a super-2 number, since 2×1051719984² = 2212229849489920512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051719989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 885439 + ... + 886625.

It is an arithmetic number, because the mean of its divisors is an integer number (21654864).

Almost surely, 2^1051719984 is an apocalyptic number.

1051719984 is a gapful number since it is divisible by the number (14) 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 1051719984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732389120).

1051719984 is an abundant number, since it is smaller than the sum of its proper divisors (2413058256).

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

1051719984 is a wasteful number, since it uses less digits than its factorization.

1051719984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The square root of 1051719984 is about 32430.2325616083. The cubic root of 1051719984 is about 1016.9510335714.

The spelling of 1051719984 in words is "one billion, fifty-one million, seven hundred nineteen thousand, nine hundred eighty-four".