19830096 has 200 divisors, whose sum is σ = 68058144. Its totient is φ = 5495040.

The previous prime is 19830089. The next prime is 19830103. The reversal of 19830096 is 69003891.

19830096 = 39² + 40² + ... + 390².

It is an interprime number because it is at equal distance from previous prime (19830089) and next prime (19830103).

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 19830096.

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 39 ways as a sum of consecutive naturals, for example, 185275 + ... + 185381.

Almost surely, 2^19830096 is an apocalyptic number.

19830096 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 19830096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

19830096 is an abundant number, since it is smaller than the sum of its proper divisors (48228048).

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

19830096 is a wasteful number, since it uses less digits than its factorization.

19830096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 19830096 is about 4453.0995946644. The cubic root of 19830096 is about 270.6709240300.

The spelling of 19830096 in words is "nineteen million, eight hundred thirty thousand, ninety-six".