14819840 has 80 divisors (see below), whose sum is σ = 40658112. Its totient is φ = 5074944.

The previous prime is 14819839. The next prime is 14819851. The reversal of 14819840 is 4891841.

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 (35).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 14819840.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17507 + ... + 18333.

Almost surely, 2^14819840 is an apocalyptic number.

14819840 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 14819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20329056).

14819840 is an abundant number, since it is smaller than the sum of its proper divisors (25838272).

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

14819840 is an frugal number, since it uses more digits than its factorization.

14819840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 14819840 is about 3849.6545299546. The cubic root of 14819840 is about 245.6298661809.

The spelling of 14819840 in words is "fourteen million, eight hundred nineteen thousand, eight hundred forty".