19965960 has 256 divisors, whose sum is σ = 80640000. Its totient is φ = 4292352.

The previous prime is 19965947. The next prime is 19965961. The reversal of 19965960 is 6956991.

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

It is not an unprimeable number, because it can be changed into a prime (19965961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143571 + ... + 143709.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 2^19965960 is an apocalyptic number.

19965960 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 19965960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40320000).

19965960 is an abundant number, since it is smaller than the sum of its proper divisors (60674040).

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

19965960 is a wasteful number, since it uses less digits than its factorization.

19965960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 19965960 is about 4468.3285465597. The cubic root of 19965960 is about 271.2876762492.

The spelling of 19965960 in words is "nineteen million, nine hundred sixty-five thousand, nine hundred sixty".