19350968 has 64 divisors (see below), whose sum is σ = 47040000. Its totient is φ = 7247232.

The previous prime is 19350967. The next prime is 19351001. The reversal of 19350968 is 86905391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19350967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13133 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (735000).

Almost surely, 2^19350968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19350968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23520000).

19350968 is an abundant number, since it is smaller than the sum of its proper divisors (27689032).

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

19350968 is a wasteful number, since it uses less digits than its factorization.

19350968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 41.

The square root of 19350968 is about 4398.9735166286. The cubic root of 19350968 is about 268.4731746264.

The spelling of 19350968 in words is "nineteen million, three hundred fifty thousand, nine hundred sixty-eight".