19540896 has 48 divisors (see below), whose sum is σ = 53071200. Its totient is φ = 6288128.

The previous prime is 19540891. The next prime is 19540897. The reversal of 19540896 is 69804591.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19540891) 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, 726 + ... + 6293.

It is an arithmetic number, because the mean of its divisors is an integer number (1105650).

Almost surely, 2^19540896 is an apocalyptic number.

19540896 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 19540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535600).

19540896 is an abundant number, since it is smaller than the sum of its proper divisors (33530304).

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

19540896 is a wasteful number, since it uses less digits than its factorization.

19540896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7061 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 19540896 is about 4420.5085680270. The cubic root of 19540896 is about 269.3486632018.

The spelling of 19540896 in words is "nineteen million, five hundred forty thousand, eight hundred ninety-six".