1948321920 has 128 divisors (see below), whose sum is σ = 6246072000. Its totient is φ = 516558848.

The previous prime is 1948321919. The next prime is 1948321933. The reversal of 1948321920 is 291238491.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340846 + ... + 346514.

Almost surely, 2^1948321920 is an apocalyptic number.

1948321920 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 1948321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123036000).

1948321920 is an abundant number, since it is smaller than the sum of its proper divisors (4297750080).

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

1948321920 is a wasteful number, since it uses less digits than its factorization.

1948321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5870 (or 5858 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1948321920 is about 44139.7997276834. The cubic root of 1948321920 is about 1248.9745018462.

The spelling of 1948321920 in words is "one billion, nine hundred forty-eight million, three hundred twenty-one thousand, nine hundred twenty".