181396800 has 672 divisors, whose sum is σ = 793699200. Its totient is φ = 39813120.

The previous prime is 181396777. The next prime is 181396801. The reversal of 181396800 is 8693181.

181396800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181396801) 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, 9547191 + ... + 9547209.

It is an arithmetic number, because the mean of its divisors is an integer number (1181100).

Almost surely, 2^181396800 is an apocalyptic number.

181396800 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 181396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849600).

181396800 is an abundant number, since it is smaller than the sum of its proper divisors (612302400).

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

181396800 is a wasteful number, since it uses less digits than its factorization.

181396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 181396800 is about 13468.3629294729. The cubic root of 181396800 is about 566.0783436527.

The spelling of 181396800 in words is "one hundred eighty-one million, three hundred ninety-six thousand, eight hundred".