19620960 has 96 divisors (see below), whose sum is σ = 63376992. Its totient is φ = 5099520.

The previous prime is 19620947. The next prime is 19620983. The reversal of 19620960 is 6902691.

19620960 = T₃₃₁ + T₃₃₂ + ... + T₅₃₅.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 19182 + ... + 20178.

It is an arithmetic number, because the mean of its divisors is an integer number (660177).

Almost surely, 2^19620960 is an apocalyptic number.

19620960 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 19620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31688496).

19620960 is an abundant number, since it is smaller than the sum of its proper divisors (43756032).

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

19620960 is a wasteful number, since it uses less digits than its factorization.

19620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 19620960 is about 4429.5552824183. Note that the first 3 decimals coincide. The cubic root of 19620960 is about 269.7160251629.

The spelling of 19620960 in words is "nineteen million, six hundred twenty thousand, nine hundred sixty".