19768560 has 180 divisors, whose sum is σ = 73068984. Its totient is φ = 4408320.

The previous prime is 19768549. The next prime is 19768561. The reversal of 19768560 is 6586791.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19768561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482140 + ... + 482180.

Almost surely, 2^19768560 is an apocalyptic number.

19768560 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 19768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36534492).

19768560 is an abundant number, since it is smaller than the sum of its proper divisors (53300424).

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

19768560 is a wasteful number, since it uses less digits than its factorization.

19768560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 19768560 is about 4446.1848814461. The cubic root of 19768560 is about 270.3906553497.

The spelling of 19768560 in words is "nineteen million, seven hundred sixty-eight thousand, five hundred sixty".