19742120 has 32 divisors (see below), whose sum is σ = 45034920. Its totient is φ = 7787520.

The previous prime is 19742077. The next prime is 19742123. The reversal of 19742120 is 2124791.

It can be written as a sum of positive squares in 4 ways, for example, as 18335524 + 1406596 = 4282^2 + 1186^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19742120.

It is not an unprimeable number, because it can be changed into a prime (19742123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461 + ... + 6300.

Almost surely, 2^19742120 is an apocalyptic number.

19742120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19742120 is an abundant number, since it is smaller than the sum of its proper divisors (25292800).

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

19742120 is a wasteful number, since it uses less digits than its factorization.

19742120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6845 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 19742120 is about 4443.2105509417. The cubic root of 19742120 is about 270.2700544467.

The spelling of 19742120 in words is "nineteen million, seven hundred forty-two thousand, one hundred twenty".