181794240 has 224 divisors, whose sum is σ = 655076160. Its totient is φ = 47443968.

The previous prime is 181794229. The next prime is 181794241. The reversal of 181794240 is 42497181.

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

It is a junction number, because it is equal to n+sod(n) for n = 181794195 and 181794204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181794241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457722 + ... + 458118.

Almost surely, 2^181794240 is an apocalyptic number.

181794240 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 181794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327538080).

181794240 is an abundant number, since it is smaller than the sum of its proper divisors (473281920).

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

181794240 is a wasteful number, since it uses less digits than its factorization.

181794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 181794240 is about 13483.1094336581. The cubic root of 181794240 is about 566.4914675608.

The spelling of 181794240 in words is "one hundred eighty-one million, seven hundred ninety-four thousand, two hundred forty".