19429968 has 40 divisors (see below), whose sum is σ = 50809248. Its totient is φ = 6397312.

The previous prime is 19429967. The next prime is 19429981. The reversal of 19429968 is 86992491.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19429967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546 + ... + 6422.

Almost surely, 2^19429968 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 19429968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25404624).

19429968 is an abundant number, since it is smaller than the sum of its proper divisors (31379280).

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

19429968 is a wasteful number, since it uses less digits than its factorization.

19429968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4971 (or 4965 counting only the distinct ones).

The product of its digits is 279936, while the sum is 48.

The square root of 19429968 is about 4407.9437382979. The cubic root of 19429968 is about 268.8380243119.

The spelling of 19429968 in words is "nineteen million, four hundred twenty-nine thousand, nine hundred sixty-eight".