181327440 has 240 divisors, whose sum is σ = 693116352. Its totient is φ = 38965248.

The previous prime is 181327411. The next prime is 181327493. The reversal of 181327440 is 44723181.

181327440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 181327398 and 181327407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199467 + ... + 200373.

Almost surely, 2^181327440 is an apocalyptic number.

181327440 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 181327440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346558176).

181327440 is an abundant number, since it is smaller than the sum of its proper divisors (511788912).

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

181327440 is a wasteful number, since it uses less digits than its factorization.

181327440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 181327440 is about 13465.7877600978. The cubic root of 181327440 is about 566.0061847185.

The spelling of 181327440 in words is "one hundred eighty-one million, three hundred twenty-seven thousand, four hundred forty".