19938240 has 336 divisors, whose sum is σ = 83685888. Its totient is φ = 4257792.

The previous prime is 19938223. The next prime is 19938241. The reversal of 19938240 is 4283991.

19938240 = T₄₁₅ + T₄₁₆ + ... + T₅₇₅.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 19938195 and 19938204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19938241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463659 + ... + 463701.

Almost surely, 2^19938240 is an apocalyptic number.

19938240 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 19938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41842944).

19938240 is an abundant number, since it is smaller than the sum of its proper divisors (63747648).

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

19938240 is a wasteful number, since it uses less digits than its factorization.

19938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 19938240 is about 4465.2256381957. The cubic root of 19938240 is about 271.1620695118.

The spelling of 19938240 in words is "nineteen million, nine hundred thirty-eight thousand, two hundred forty".