19314640 has 80 divisors (see below), whose sum is σ = 48121920. Its totient is φ = 7188480.

The previous prime is 19314593. The next prime is 19314679. The reversal of 19314640 is 4641391.

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 = 19314599 and 19314608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147375 + ... + 147505.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 2^19314640 is an apocalyptic number.

19314640 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 19314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24060960).

19314640 is an abundant number, since it is smaller than the sum of its proper divisors (28807280).

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

19314640 is a wasteful number, since it uses less digits than its factorization.

19314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 19314640 is about 4394.8424317602. The cubic root of 19314640 is about 268.3050658425.

The spelling of 19314640 in words is "nineteen million, three hundred fourteen thousand, six hundred forty".