1948286080 has 96 divisors (see below), whose sum is σ = 5043739860. Its totient is φ = 719327232.

The previous prime is 1948286077. The next prime is 1948286101. The reversal of 1948286080 is 806828491.

It can be written as a sum of positive squares in 6 ways, for example, as 588741696 + 1359544384 = 24264^2 + 36872^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1948286080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99154 + ... + 117166.

Almost surely, 2^1948286080 is an apocalyptic number.

1948286080 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 1948286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521869930).

1948286080 is an abundant number, since it is smaller than the sum of its proper divisors (3095453780).

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

1948286080 is a wasteful number, since it uses less digits than its factorization.

1948286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18058 (or 18033 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1948286080 is about 44139.3937430047. The cubic root of 1948286080 is about 1248.9668433718.

The spelling of 1948286080 in words is "one billion, nine hundred forty-eight million, two hundred eighty-six thousand, eighty".