19740960 has 72 divisors (see below), whose sum is σ = 67370940. Its totient is φ = 5263872.

The previous prime is 19740937. The next prime is 19740971. The reversal of 19740960 is 6904791.

19740960 is a `hidden beast` number, since 197 + 409 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19395216 + 345744 = 4404^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5415 + ... + 8294.

Almost surely, 2^19740960 is an apocalyptic number.

19740960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19740960 is an abundant number, since it is smaller than the sum of its proper divisors (47629980).

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

19740960 is a wasteful number, since it uses less digits than its factorization.

19740960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13719 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19740960 is about 4443.0800127839. The cubic root of 19740960 is about 270.2647608679.

The spelling of 19740960 in words is "nineteen million, seven hundred forty thousand, nine hundred sixty".