19248768 has 288 divisors, whose sum is σ = 72558720. Its totient is φ = 4838400.

The previous prime is 19248763. The next prime is 19248773. The reversal of 19248768 is 86784291.

It is an interprime number because it is at equal distance from previous prime (19248763) and next prime (19248773).

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (193536) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (19248763) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 620913 + ... + 620943.

It is an arithmetic number, because the mean of its divisors is an integer number (251940).

Almost surely, 2^19248768 is an apocalyptic number.

19248768 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 19248768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36279360).

19248768 is an abundant number, since it is smaller than the sum of its proper divisors (53309952).

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

19248768 is a wasteful number, since it uses less digits than its factorization.

19248768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 19248768 is about 4387.3417920194. The cubic root of 19248768 is about 267.9997029773. Note that the first 3 decimals are identical.

The spelling of 19248768 in words is "nineteen million, two hundred forty-eight thousand, seven hundred sixty-eight".