14641000 has 80 divisors (see below), whose sum is σ = 37685700. Its totient is φ = 5324000.

The previous prime is 14640979. The next prime is 14641031. The reversal of 14641000 is 14641.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 9897316 + 4743684 = 3146^2 + 2178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1330995 + ... + 1331005.

Almost surely, 2^14641000 is an apocalyptic number.

14641000 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 14641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18842850).

14641000 is an abundant number, since it is smaller than the sum of its proper divisors (23044700).

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

14641000 is an frugal number, since it uses more digits than its factorization.

14641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 14641000 is about 3826.3559688037. The cubic root of 14641000 is about 244.6378099626.

Adding to 14641000 its reverse (14641), we get a palindrome (14655641).

14641000 divided by its reverse (14641) gives a cube (1000 = 10³).

The spelling of 14641000 in words is "fourteen million, six hundred forty-one thousand".