182947968 has 192 divisors, whose sum is σ = 615264000. Its totient is φ = 52157952.

The previous prime is 182947949. The next prime is 182947987. The reversal of 182947968 is 869749281.

182947968 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (182947949) and next prime (182947987).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1741824) is a multiple of the sum of its prime factors (504).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 394905 + ... + 395367.

It is an arithmetic number, because the mean of its divisors is an integer number (3204500).

Almost surely, 2^182947968 is an apocalyptic number.

182947968 is a gapful number since it is divisible by the number (18) 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 182947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307632000).

182947968 is an abundant number, since it is smaller than the sum of its proper divisors (432316032).

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

182947968 is an equidigital number, since it uses as much as digits as its factorization.

182947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 475 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 182947968 is about 13525.8259636889. The cubic root of 182947968 is about 567.6873237748.

It can be divided in two parts, 18294 and 7968, that added together give a palindrome (26262).

The spelling of 182947968 in words is "one hundred eighty-two million, nine hundred forty-seven thousand, nine hundred sixty-eight".