14878240 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 5237760.

The previous prime is 14878229. The next prime is 14878249. The reversal of 14878240 is 4287841.

It is a junction number, because it is equal to n+sod(n) for n = 14878196 and 14878205.

It is not an unprimeable number, because it can be changed into a prime (14878249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47685 + ... + 47995.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^14878240 is an apocalyptic number.

14878240 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 14878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

14878240 is an abundant number, since it is smaller than the sum of its proper divisors (24748256).

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

14878240 is a wasteful number, since it uses less digits than its factorization.

14878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 14878240 is about 3857.2321682782. The cubic root of 14878240 is about 245.9520914922.

The spelling of 14878240 in words is "fourteen million, eight hundred seventy-eight thousand, two hundred forty".