19842240 has 112 divisors (see below), whose sum is σ = 68762880. Its totient is φ = 4807680.

The previous prime is 19842239. The next prime is 19842241. The reversal of 19842240 is 4224891.

It is an interprime number because it is at equal distance from previous prime (19842239) and next prime (19842241).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19842198 and 19842207.

It is not an unprimeable number, because it can be changed into a prime (19842241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9621 + ... + 11499.

Almost surely, 2^19842240 is an apocalyptic number.

19842240 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 19842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34381440).

19842240 is an abundant number, since it is smaller than the sum of its proper divisors (48920640).

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

19842240 is a wasteful number, since it uses less digits than its factorization.

19842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 19842240 is about 4454.4629305899. The cubic root of 19842240 is about 270.7261659366.

It can be divided in two parts, 1984 and 2240, that added together give a palindrome (4224).

The spelling of 19842240 in words is "nineteen million, eight hundred forty-two thousand, two hundred forty".