1948531680 has 192 divisors, whose sum is σ = 6853351680. Its totient is φ = 517059072.

The previous prime is 1948531679. The next prime is 1948531709. The reversal of 1948531680 is 861358491.

1948531680 is a `hidden beast` number, since 1 + 9 + 485 + 3 + 168 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979647 + ... + 981633.

It is an arithmetic number, because the mean of its divisors is an integer number (35694540).

Almost surely, 2^1948531680 is an apocalyptic number.

1948531680 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 1948531680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3426675840).

1948531680 is an abundant number, since it is smaller than the sum of its proper divisors (4904820000).

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

1948531680 is a wasteful number, since it uses less digits than its factorization.

1948531680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1948531680 is about 44142.1757506356. The cubic root of 1948531680 is about 1249.0193225519.

The spelling of 1948531680 in words is "one billion, nine hundred forty-eight million, five hundred thirty-one thousand, six hundred eighty".