19642240 has 64 divisors (see below), whose sum is σ = 48029760. Its totient is φ = 7677952.

The previous prime is 19642237. The next prime is 19642241. The reversal of 19642240 is 4224691.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 19642199 and 19642208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19642241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29754 + ... + 30406.

It is an arithmetic number, because the mean of its divisors is an integer number (750465).

Almost surely, 2^19642240 is an apocalyptic number.

19642240 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 19642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014880).

19642240 is an abundant number, since it is smaller than the sum of its proper divisors (28387520).

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

19642240 is an equidigital number, since it uses as much as digits as its factorization.

19642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 19642240 is about 4431.9566784886. The cubic root of 19642240 is about 269.8134971743.

It can be divided in two parts, 196 and 42240, that added together give a square (42436 = 206²).

The spelling of 19642240 in words is "nineteen million, six hundred forty-two thousand, two hundred forty".