1982087296 has 128 divisors (see below), whose sum is σ = 4784860800. Its totient is φ = 798916608.

The previous prime is 1982087293. The next prime is 1982087321. The reversal of 1982087296 is 6927802891.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1982087291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2944816 + ... + 2945488.

It is an arithmetic number, because the mean of its divisors is an integer number (37381725).

Almost surely, 2^1982087296 is an apocalyptic number.

1982087296 is a gapful number since it is divisible by the number (16) 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 1982087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392430400).

1982087296 is an abundant number, since it is smaller than the sum of its proper divisors (2802773504).

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

1982087296 is a wasteful number, since it uses less digits than its factorization.

1982087296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1982087296 is about 44520.6389891250. The cubic root of 1982087296 is about 1256.1483319751.

The spelling of 1982087296 in words is "one billion, nine hundred eighty-two million, eighty-seven thousand, two hundred ninety-six".