19314000 has 240 divisors, whose sum is σ = 71669520. Its totient is φ = 4838400.

The previous prime is 19313977. The next prime is 19314007. The reversal of 19314000 is 41391.

19314000 = 81³ + 82³ + ... + 104³.

It can be written as a sum of positive squares in 8 ways, for example, as 2471184 + 16842816 = 1572^2 + 4104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19314007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 521982 + ... + 522018.

It is an arithmetic number, because the mean of its divisors is an integer number (298623).

Almost surely, 2^19314000 is an apocalyptic number.

19314000 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 19314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834760).

19314000 is an abundant number, since it is smaller than the sum of its proper divisors (52355520).

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

19314000 is a wasteful number, since it uses less digits than its factorization.

19314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 19314000 is about 4394.7696185352. The cubic root of 19314000 is about 268.3021023368.

Adding to 19314000 its reverse (41391), we get a palindrome (19355391).

The spelling of 19314000 in words is "nineteen million, three hundred fourteen thousand".