19971960 has 64 divisors (see below), whose sum is σ = 60372000. Its totient is φ = 5285376.

The previous prime is 19971953. The next prime is 19971979. The reversal of 19971960 is 6917991.

It is a Cunningham number, because it is equal to 4469²-1.

It is a congruent number.

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, 17322 + ... + 18438.

Almost surely, 2^19971960 is an apocalyptic number.

19971960 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 19971960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30186000).

19971960 is an abundant number, since it is smaller than the sum of its proper divisors (40400040).

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

19971960 is a wasteful number, since it uses less digits than its factorization.

19971960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 30618, while the sum is 42.

The square root of 19971960 is about 4468.9998881181. Note that the first 3 decimals coincide. The cubic root of 19971960 is about 271.3148485470.

The spelling of 19971960 in words is "nineteen million, nine hundred seventy-one thousand, nine hundred sixty".