14813040 has 160 divisors (see below), whose sum is σ = 51996672. Its totient is φ = 3456000.

The previous prime is 14813017. The next prime is 14813041. The reversal of 14813040 is 4031841.

It is a junction number, because it is equal to n+sod(n) for n = 14812998 and 14813016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14813041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81750 + ... + 81930.

Almost surely, 2^14813040 is an apocalyptic number.

14813040 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 14813040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25998336).

14813040 is an abundant number, since it is smaller than the sum of its proper divisors (37183632).

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

14813040 is a wasteful number, since it uses less digits than its factorization.

14813040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 14813040 is about 3848.7712324845. The cubic root of 14813040 is about 245.5922918072.

Adding to 14813040 its reverse (4031841), we get a palindrome (18844881).

The spelling of 14813040 in words is "fourteen million, eight hundred thirteen thousand, forty".