19993960 has 72 divisors (see below), whose sum is σ = 52854390. Its totient is φ = 6787200.

The previous prime is 19993951. The next prime is 19993997. The reversal of 19993960 is 6939991.

It can be written as a sum of positive squares in 3 ways, for example, as 19695844 + 298116 = 4438^2 + 546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19993960.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 197910 + ... + 198010.

Almost surely, 2^19993960 is an apocalyptic number.

19993960 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 19993960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26427195).

19993960 is an abundant number, since it is smaller than the sum of its proper divisors (32860430).

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

19993960 is a wasteful number, since it uses less digits than its factorization.

19993960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 46.

The square root of 19993960 is about 4471.4606114781. The cubic root of 19993960 is about 271.4144337710.

The spelling of 19993960 in words is "nineteen million, nine hundred ninety-three thousand, nine hundred sixty".