19096896 has 112 divisors (see below), whose sum is σ = 62244224. Its totient is φ = 5031936.

The previous prime is 19096879. The next prime is 19096901. The reversal of 19096896 is 69869091.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16926 + ... + 18018.

It is an arithmetic number, because the mean of its divisors is an integer number (555752).

Almost surely, 2^19096896 is an apocalyptic number.

19096896 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 19096896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31122112).

19096896 is an abundant number, since it is smaller than the sum of its proper divisors (43147328).

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

19096896 is a wasteful number, since it uses less digits than its factorization.

19096896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 19096896 is about 4369.9995423341. Note that the first 3 decimals coincide. The cubic root of 19096896 is about 267.2930054997.

The spelling of 19096896 in words is "nineteen million, ninety-six thousand, eight hundred ninety-six".