19383840 has 192 divisors, whose sum is σ = 77656320. Its totient is φ = 4423680.

The previous prime is 19383823. The next prime is 19383851. The reversal of 19383840 is 4838391.

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

It is a junction number, because it is equal to n+sod(n) for n = 19383795 and 19383804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29920 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 2^19383840 is an apocalyptic number.

19383840 is a gapful number since it is divisible by the number (10) 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 19383840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38828160).

19383840 is an abundant number, since it is smaller than the sum of its proper divisors (58272480).

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

19383840 is a wasteful number, since it uses less digits than its factorization.

19383840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 658 counting only the distinct ones).

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

The square root of 19383840 is about 4402.7082574252. The cubic root of 19383840 is about 268.6251094491.

It can be divided in two parts, 1938 and 3840, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 19383840 in words is "nineteen million, three hundred eighty-three thousand, eight hundred forty".