14815680 has 224 divisors, whose sum is σ = 54425088. Its totient is φ = 3379200.

The previous prime is 14815663. The next prime is 14815681. The reversal of 14815680 is 8651841.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14815681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242850 + ... + 242910.

Almost surely, 2^14815680 is an apocalyptic number.

14815680 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 14815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27212544).

14815680 is an abundant number, since it is smaller than the sum of its proper divisors (39609408).

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

14815680 is a wasteful number, since it uses less digits than its factorization.

14815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 14815680 is about 3849.1141838090. The cubic root of 14815680 is about 245.6068808705.

The spelling of 14815680 in words is "fourteen million, eight hundred fifteen thousand, six hundred eighty".