19938960 has 200 divisors, whose sum is σ = 73729656. Its totient is φ = 4976640.

The previous prime is 19938949. The next prime is 19939013. The reversal of 19938960 is 6983991.

It can be written as a sum of positive squares in 4 ways, for example, as 331776 + 19607184 = 576^2 + 4428^2 .

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 39 ways as a sum of consecutive naturals, for example, 110070 + ... + 110250.

Almost surely, 2^19938960 is an apocalyptic number.

19938960 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 19938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36864828).

19938960 is an abundant number, since it is smaller than the sum of its proper divisors (53790696).

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

19938960 is a wasteful number, since it uses less digits than its factorization.

19938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 19938960 is about 4465.3062604932. The cubic root of 19938960 is about 271.1653334967.

The spelling of 19938960 in words is "nineteen million, nine hundred thirty-eight thousand, nine hundred sixty".