14931840 has 256 divisors, whose sum is σ = 59927040. Its totient is φ = 3072000.

The previous prime is 14931811. The next prime is 14931841. The reversal of 14931840 is 4813941.

It is a happy number.

14931840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14931798 and 14931807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14931841) 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, 147790 + ... + 147890.

It is an arithmetic number, because the mean of its divisors is an integer number (234090).

Almost surely, 2^14931840 is an apocalyptic number.

14931840 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 14931840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963520).

14931840 is an abundant number, since it is smaller than the sum of its proper divisors (44995200).

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

14931840 is a wasteful number, since it uses less digits than its factorization.

14931840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14931840 is about 3864.1739091299. The cubic root of 14931840 is about 246.2470912761.

It can be divided in two parts, 1493 and 1840, that added together give a palindrome (3333).

The spelling of 14931840 in words is "fourteen million, nine hundred thirty-one thousand, eight hundred forty".