18064200 has 384 divisors, whose sum is σ = 77137920. Its totient is φ = 3379200.

The previous prime is 18064199. The next prime is 18064201. The reversal of 18064200 is 246081.

It is an interprime number because it is at equal distance from previous prime (18064199) and next prime (18064201).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18064201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 785389 + ... + 785411.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^18064200 is an apocalyptic number.

18064200 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 18064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

18064200 is an abundant number, since it is smaller than the sum of its proper divisors (59073720).

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

18064200 is a wasteful number, since it uses less digits than its factorization.

18064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 18064200 is about 4250.1999952943. The cubic root of 18064200 is about 262.3853467551.

It can be divided in two parts, 1806 and 4200, that added together give a palindrome (6006).

The spelling of 18064200 in words is "eighteen million, sixty-four thousand, two hundred".