14579840 has 128 divisors (see below), whose sum is σ = 40392000. Its totient is φ = 4976640.

The previous prime is 14579839. The next prime is 14579843. The reversal of 14579840 is 4897541.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 14579794 and 14579803.

It is not an unprimeable number, because it can be changed into a prime (14579843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133706 + ... + 133814.

Almost surely, 2^14579840 is an apocalyptic number.

14579840 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 14579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196000).

14579840 is an abundant number, since it is smaller than the sum of its proper divisors (25812160).

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

14579840 is a wasteful number, since it uses less digits than its factorization.

14579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 14579840 is about 3818.3556670378. The cubic root of 14579840 is about 244.2966918548.

The spelling of 14579840 in words is "fourteen million, five hundred seventy-nine thousand, eight hundred forty".