14746000 has 80 divisors (see below), whose sum is σ = 36502128. Its totient is φ = 5760000.

The previous prime is 14745979. The next prime is 14746003. The reversal of 14746000 is 64741.

It can be written as a sum of positive squares in 8 ways, for example, as 1115136 + 13630864 = 1056^2 + 3692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14746003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145950 + ... + 146050.

Almost surely, 2^14746000 is an apocalyptic number.

14746000 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 14746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251064).

14746000 is an abundant number, since it is smaller than the sum of its proper divisors (21756128).

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

14746000 is a wasteful number, since it uses less digits than its factorization.

14746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 14746000 is about 3840.0520829801. The cubic root of 14746000 is about 245.2212356764.

The spelling of 14746000 in words is "fourteen million, seven hundred forty-six thousand".