18496000 has 120 divisors (see below), whose sum is σ = 48993516. Its totient is φ = 6963200.

The previous prime is 18495991. The next prime is 18496003. The reversal of 18496000 is 69481.

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 6 ways, for example, as 3873024 + 14622976 = 1968^2 + 3824^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 18496000.

It is not an unprimeable number, because it can be changed into a prime (18496003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1087992 + ... + 1088008.

Almost surely, 2^18496000 is an apocalyptic number.

18496000 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 18496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496758).

18496000 is an abundant number, since it is smaller than the sum of its proper divisors (30497516).

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

18496000 is an frugal number, since it uses more digits than its factorization.

18496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 24 counting only the distinct ones).

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

The square root of 18496000 is about 4300.6976178290. The cubic root of 18496000 is about 264.4595607383.

The spelling of 18496000 in words is "eighteen million, four hundred ninety-six thousand".