19860960 has 192 divisors, whose sum is σ = 74898432. Its totient is φ = 4325376.

The previous prime is 19860923. The next prime is 19860977. The reversal of 19860960 is 6906891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77152 + ... + 77408.

It is an arithmetic number, because the mean of its divisors is an integer number (390096).

Almost surely, 2^19860960 is an apocalyptic number.

19860960 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 19860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37449216).

19860960 is an abundant number, since it is smaller than the sum of its proper divisors (55037472).

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

19860960 is a wasteful number, since it uses less digits than its factorization.

19860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 19860960 is about 4456.5636986360. The cubic root of 19860960 is about 270.8112773097.

The spelling of 19860960 in words is "nineteen million, eight hundred sixty thousand, nine hundred sixty".