19431648 has 72 divisors (see below), whose sum is σ = 55855800. Its totient is φ = 6407424.

The previous prime is 19431641. The next prime is 19431649. The reversal of 19431648 is 84613491.

19431648 is a `hidden beast` number, since 1 + 9 + 4 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (19431641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31083 + ... + 31701.

It is an arithmetic number, because the mean of its divisors is an integer number (775775).

Almost surely, 2^19431648 is an apocalyptic number.

19431648 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 19431648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27927900).

19431648 is an abundant number, since it is smaller than the sum of its proper divisors (36424152).

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

19431648 is a wasteful number, since it uses less digits than its factorization.

19431648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 733 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 19431648 is about 4408.1342992246. The cubic root of 19431648 is about 268.8457723923.

The spelling of 19431648 in words is "nineteen million, four hundred thirty-one thousand, six hundred forty-eight".