14869680 has 160 divisors (see below), whose sum is σ = 53996544. Its totient is φ = 3314688.

The previous prime is 14869651. The next prime is 14869681. The reversal of 14869680 is 8696841.

14869680 = T₁₃₆ + T₁₃₇ + ... + T₄₅₀.

It is a super-2 number, since 2×14869680² = 442214766604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14869681) 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 31 ways as a sum of consecutive naturals, for example, 88957 + ... + 89123.

Almost surely, 2^14869680 is an apocalyptic number.

14869680 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 14869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

14869680 is an abundant number, since it is smaller than the sum of its proper divisors (39126864).

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

14869680 is a wasteful number, since it uses less digits than its factorization.

14869680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 14869680 is about 3856.1224046962. The cubic root of 14869680 is about 245.9049140081.

The spelling of 14869680 in words is "fourteen million, eight hundred sixty-nine thousand, six hundred eighty".