19253840 has 80 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 7128576.

The previous prime is 19253837. The next prime is 19253881. The reversal of 19253840 is 4835291.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 19253797 and 19253806.

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, 80441 + ... + 80679.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^19253840 is an apocalyptic number.

19253840 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 19253840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

19253840 is an abundant number, since it is smaller than the sum of its proper divisors (28957360).

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

19253840 is a wasteful number, since it uses less digits than its factorization.

19253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 19253840 is about 4387.9197804882. The cubic root of 19253840 is about 268.0232399836.

The spelling of 19253840 in words is "nineteen million, two hundred fifty-three thousand, eight hundred forty".