19740096 has 84 divisors (see below), whose sum is σ = 57969912. Its totient is φ = 6418944.

The previous prime is 19740067. The next prime is 19740121. The reversal of 19740096 is 69004791.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19740096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24370 + ... + 25166.

It is an arithmetic number, because the mean of its divisors is an integer number (690118).

Almost surely, 2^19740096 is an apocalyptic number.

19740096 is a gapful number since it is divisible by the number (16) 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 19740096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984956).

19740096 is an abundant number, since it is smaller than the sum of its proper divisors (38229816).

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

19740096 is a wasteful number, since it uses less digits than its factorization.

19740096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 19740096 is about 4442.9827818708. The cubic root of 19740096 is about 270.2608179296.

The spelling of 19740096 in words is "nineteen million, seven hundred forty thousand, ninety-six".