18946000 has 40 divisors (see below), whose sum is σ = 45816264. Its totient is φ = 7577600.

The previous prime is 18945967. The next prime is 18946003. The reversal of 18946000 is 64981.

It can be written as a sum of positive squares in 4 ways, for example, as 179776 + 18766224 = 424^2 + 4332^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 18946000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18946003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2737 + ... + 6736.

Almost surely, 2^18946000 is an apocalyptic number.

18946000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

18946000 is an abundant number, since it is smaller than the sum of its proper divisors (26870264).

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

18946000 is an equidigital number, since it uses as much as digits as its factorization.

18946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9496 (or 9480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 18946000 is about 4352.7003113010. The cubic root of 18946000 is about 266.5871290568.

The spelling of 18946000 in words is "eighteen million, nine hundred forty-six thousand".