14919840 has 144 divisors (see below), whose sum is σ = 54899208. Its totient is φ = 3667968.

The previous prime is 14919803. The next prime is 14919841. The reversal of 14919840 is 4891941.

It can be written as a sum of positive squares in 4 ways, for example, as 9217296 + 5702544 = 3036^2 + 2388^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14919795 and 14919804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14919841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18322 + ... + 19118.

Almost surely, 2^14919840 is an apocalyptic number.

14919840 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 14919840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449604).

14919840 is an abundant number, since it is smaller than the sum of its proper divisors (39979368).

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

14919840 is a wasteful number, since it uses less digits than its factorization.

14919840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14919840 is about 3862.6208718951. The cubic root of 14919840 is about 246.1811079582.

The spelling of 14919840 in words is "fourteen million, nine hundred nineteen thousand, eight hundred forty".