1948761360 has 480 divisors, whose sum is σ = 8232806400. Its totient is φ = 410489856.

The previous prime is 1948761317. The next prime is 1948761377. The reversal of 1948761360 is 631678491.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3210177 + ... + 3210783.

It is an arithmetic number, because the mean of its divisors is an integer number (17151680).

Almost surely, 2^1948761360 is an apocalyptic number.

1948761360 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 1948761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116403200).

1948761360 is an abundant number, since it is smaller than the sum of its proper divisors (6284045040).

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

1948761360 is a wasteful number, since it uses less digits than its factorization.

1948761360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1948761360 is about 44144.7772675319. Note that the first 3 decimals coincide. The cubic root of 1948761360 is about 1249.0683959970.

The spelling of 1948761360 in words is "one billion, nine hundred forty-eight million, seven hundred sixty-one thousand, three hundred sixty".