14364840 has 128 divisors (see below), whose sum is σ = 50400000. Its totient is φ = 3273984.

The previous prime is 14364809. The next prime is 14364851. The reversal of 14364840 is 4846341.

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 = 14364798 and 14364807.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 40986 + ... + 41334.

It is an arithmetic number, because the mean of its divisors is an integer number (393750).

Almost surely, 2^14364840 is an apocalyptic number.

14364840 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 14364840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25200000).

14364840 is an abundant number, since it is smaller than the sum of its proper divisors (36035160).

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

14364840 is a wasteful number, since it uses less digits than its factorization.

14364840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 14364840 is about 3790.0976240725. The cubic root of 14364840 is about 243.0899089813.

The spelling of 14364840 in words is "fourteen million, three hundred sixty-four thousand, eight hundred forty".