14679840 has 192 divisors, whose sum is σ = 56173824. Its totient is φ = 3145728.

The previous prime is 14679817. The next prime is 14679853. The reversal of 14679840 is 4897641.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56992 + ... + 57248.

It is an arithmetic number, because the mean of its divisors is an integer number (292572).

Almost surely, 2^14679840 is an apocalyptic number.

14679840 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 14679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28086912).

14679840 is an abundant number, since it is smaller than the sum of its proper divisors (41493984).

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

14679840 is a wasteful number, since it uses less digits than its factorization.

14679840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 14679840 is about 3831.4279322467. The cubic root of 14679840 is about 244.8539459906.

The spelling of 14679840 in words is "fourteen million, six hundred seventy-nine thousand, eight hundred forty".