181620000 has 180 divisors, whose sum is σ = 646035390. Its totient is φ = 48384000.

The previous prime is 181619969. The next prime is 181620053. The reversal of 181620000 is 26181.

It can be written as a sum of positive squares in 5 ways, for example, as 17424 + 181602576 = 132^2 + 13476^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179496 + ... + 180504.

Almost surely, 2^181620000 is an apocalyptic number.

181620000 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 181620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323017695).

181620000 is an abundant number, since it is smaller than the sum of its proper divisors (464415390).

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

181620000 is a wasteful number, since it uses less digits than its factorization.

181620000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 181620000 is about 13476.6464671297. The cubic root of 181620000 is about 566.3104258426.

Adding to 181620000 its reverse (26181), we get a palindrome (181646181).

It can be divided in two parts, 18 and 1620000, that multiplied together give a square (29160000 = 5400²).

The spelling of 181620000 in words is "one hundred eighty-one million, six hundred twenty thousand".