19735940 has 48 divisors (see below), whose sum is σ = 48163584. Its totient is φ = 6652800.

The previous prime is 19735939. The next prime is 19735943. The reversal of 19735940 is 4953791.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19735894 and 19735903.

It is not an unprimeable number, because it can be changed into a prime (19735943) 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, 7385 + ... + 9695.

It is an arithmetic number, because the mean of its divisors is an integer number (1003408).

Almost surely, 2^19735940 is an apocalyptic number.

19735940 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 19735940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24081792).

19735940 is an abundant number, since it is smaller than the sum of its proper divisors (28427644).

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

19735940 is a wasteful number, since it uses less digits than its factorization.

19735940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2388 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 19735940 is about 4442.5150534354. The cubic root of 19735940 is about 270.2418500584.

The spelling of 19735940 in words is "nineteen million, seven hundred thirty-five thousand, nine hundred forty".