19875960 has 192 divisors, whose sum is σ = 72334080. Its totient is φ = 4700160.

The previous prime is 19875959. The next prime is 19875967. The reversal of 19875960 is 6957891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19875967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145012 + ... + 145148.

It is an arithmetic number, because the mean of its divisors is an integer number (376740).

Almost surely, 2^19875960 is an apocalyptic number.

19875960 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 19875960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167040).

19875960 is an abundant number, since it is smaller than the sum of its proper divisors (52458120).

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

19875960 is a wasteful number, since it uses less digits than its factorization.

19875960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 19875960 is about 4458.2462919852. The cubic root of 19875960 is about 270.8794369377.

The spelling of 19875960 in words is "nineteen million, eight hundred seventy-five thousand, nine hundred sixty".