182812968 has 96 divisors (see below), whose sum is σ = 564618600. Its totient is φ = 52936704.

The previous prime is 182812963. The next prime is 182812969. The reversal of 182812968 is 869218281.

It is a happy number.

182812968 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 126832644 + 55980324 = 11262^2 + 7482^2 .

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

It is a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182812963) by changing a digit.

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, 10168 + ... + 21656.

Almost surely, 2^182812968 is an apocalyptic number.

182812968 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 182812968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282309300).

182812968 is an abundant number, since it is smaller than the sum of its proper divisors (381805632).

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

182812968 is a wasteful number, since it uses less digits than its factorization.

182812968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11531 (or 11524 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 182812968 is about 13520.8345896250. The cubic root of 182812968 is about 567.5476544689.

The spelling of 182812968 in words is "one hundred eighty-two million, eight hundred twelve thousand, nine hundred sixty-eight".