14681000 has 64 divisors (see below), whose sum is σ = 35128080. Its totient is φ = 5740800.

The previous prime is 14680999. The next prime is 14681021. The reversal of 14681000 is 18641.

It can be written as a sum of positive squares in 8 ways, for example, as 195364 + 14485636 = 442^2 + 3806^2 .

It is a super-2 number, since 2×14681000² = 431063522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52862 + ... + 53138.

Almost surely, 2^14681000 is an apocalyptic number.

14681000 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 14681000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564040).

14681000 is an abundant number, since it is smaller than the sum of its proper divisors (20447080).

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

14681000 is a wasteful number, since it uses less digits than its factorization.

14681000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 14681000 is about 3831.5793088490. The cubic root of 14681000 is about 244.8603952684.

Adding to 14681000 its reverse (18641), we get a palindrome (14699641).

The spelling of 14681000 in words is "fourteen million, six hundred eighty-one thousand".