19714968 has 256 divisors, whose sum is σ = 72576000. Its totient is φ = 4810752.

The previous prime is 19714967. The next prime is 19714987. The reversal of 19714968 is 86941791.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19714967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334123 + ... + 334181.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 2^19714968 is an apocalyptic number.

19714968 is a gapful number since it is divisible by the number (18) 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 19714968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288000).

19714968 is an abundant number, since it is smaller than the sum of its proper divisors (52861032).

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

19714968 is a wasteful number, since it uses less digits than its factorization.

19714968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 101 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 19714968 is about 4440.1540513816. The cubic root of 19714968 is about 270.1460937757.

The spelling of 19714968 in words is "nineteen million, seven hundred fourteen thousand, nine hundred sixty-eight".