14634000 has 160 divisors (see below), whose sum is σ = 52615680. Its totient is φ = 3888000.

The previous prime is 14633999. The next prime is 14634019. The reversal of 14634000 is 43641.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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, 53865 + ... + 54135.

It is an arithmetic number, because the mean of its divisors is an integer number (328848).

Almost surely, 2^14634000 is an apocalyptic number.

14634000 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 14634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26307840).

14634000 is an abundant number, since it is smaller than the sum of its proper divisors (37981680).

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

14634000 is a wasteful number, since it uses less digits than its factorization.

14634000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 14634000 is about 3825.4411510308. The cubic root of 14634000 is about 244.5988158671.

Adding to 14634000 its reverse (43641), we get a palindrome (14677641).

The spelling of 14634000 in words is "fourteen million, six hundred thirty-four thousand".