181477968 has 240 divisors, whose sum is σ = 597104640. Its totient is φ = 47174400.

The previous prime is 181477963. The next prime is 181477973. The reversal of 181477968 is 869774181.

181477968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181477963) and next prime (181477973).

It is a self number, because there is not a number n which added to its sum of digits gives 181477968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181477963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1385263 + ... + 1385393.

It is an arithmetic number, because the mean of its divisors is an integer number (2487936).

Almost surely, 2^181477968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181477968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298552320).

181477968 is an abundant number, since it is smaller than the sum of its proper divisors (415626672).

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

181477968 is a wasteful number, since it uses less digits than its factorization.

181477968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 181477968 is about 13471.3758762793. The cubic root of 181477968 is about 566.1627637297.

The spelling of 181477968 in words is "one hundred eighty-one million, four hundred seventy-seven thousand, nine hundred sixty-eight".