14678820 has 240 divisors, whose sum is σ = 53787888. Its totient is φ = 3317760.

The previous prime is 14678809. The next prime is 14678821. The reversal of 14678820 is 2887641.

It can be written as a sum of positive squares in 8 ways, for example, as 2232036 + 12446784 = 1494^2 + 3528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14678821) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 358000 + ... + 358040.

Almost surely, 2^14678820 is an apocalyptic number.

14678820 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 14678820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26893944).

14678820 is an abundant number, since it is smaller than the sum of its proper divisors (39109068).

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

14678820 is a wasteful number, since it uses less digits than its factorization.

14678820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 14678820 is about 3831.2948202925. The cubic root of 14678820 is about 244.8482747933.

The spelling of 14678820 in words is "fourteen million, six hundred seventy-eight thousand, eight hundred twenty".