19813248 has 288 divisors, whose sum is σ = 74070360. Its totient is φ = 5225472.

The previous prime is 19813237. The next prime is 19813289. The reversal of 19813248 is 84231891.

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

It is a super-3 number, since 3×19813248³ (a number of 23 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524090 + ... + 1524102.

Almost surely, 2^19813248 is an apocalyptic number.

19813248 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 19813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37035180).

19813248 is an abundant number, since it is smaller than the sum of its proper divisors (54257112).

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

19813248 is an equidigital number, since it uses as much as digits as its factorization.

19813248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 25 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 19813248 is about 4451.2074766292. The cubic root of 19813248 is about 270.5942467103.

The spelling of 19813248 in words is "nineteen million, eight hundred thirteen thousand, two hundred forty-eight".