14757680 has 120 divisors (see below), whose sum is σ = 41952672. Its totient is φ = 4727808.

The previous prime is 14757679. The next prime is 14757689. The reversal of 14757680 is 8675741.

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

It is not an unprimeable number, because it can be changed into a prime (14757689) 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 23 ways as a sum of consecutive naturals, for example, 202124 + ... + 202196.

Almost surely, 2^14757680 is an apocalyptic number.

14757680 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 14757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976336).

14757680 is an abundant number, since it is smaller than the sum of its proper divisors (27194992).

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

14757680 is a wasteful number, since it uses less digits than its factorization.

14757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 14757680 is about 3841.5725946544. The cubic root of 14757680 is about 245.2859634703.

The spelling of 14757680 in words is "fourteen million, seven hundred fifty-seven thousand, six hundred eighty".