19914000 has 80 divisors (see below), whose sum is σ = 64222080. Its totient is φ = 5308800.

The previous prime is 19913989. The next prime is 19914019. The reversal of 19914000 is 41991.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4341 + ... + 7659.

It is an arithmetic number, because the mean of its divisors is an integer number (802776).

Almost surely, 2^19914000 is an apocalyptic number.

19914000 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 19914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32111040).

19914000 is an abundant number, since it is smaller than the sum of its proper divisors (44308080).

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

19914000 is a wasteful number, since it uses less digits than its factorization.

19914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 19914000 is about 4462.5105041893. The cubic root of 19914000 is about 271.0521361364.

Adding to 19914000 its reverse (41991), we get a palindrome (19955991).

The spelling of 19914000 in words is "nineteen million, nine hundred fourteen thousand".