968182632 has 80 divisors (see below), whose sum is σ = 2805372900. Its totient is φ = 311592960.

The previous prime is 968182627. The next prime is 968182637. The reversal of 968182632 is 236281869.

968182632 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 8 + 2 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (968182627) and next prime (968182637).

It can be written as a sum of positive squares in 2 ways, for example, as 836713476 + 131469156 = 28926^2 + 11466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (968182637) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6969 + ... + 44552.

Almost surely, 2^968182632 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 968182632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402686450).

968182632 is an abundant number, since it is smaller than the sum of its proper divisors (1837190268).

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

968182632 is a wasteful number, since it uses less digits than its factorization.

968182632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51568 (or 51555 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 968182632 is about 31115.6332411860. The cubic root of 968182632 is about 989.2796964348.

The spelling of 968182632 in words is "nine hundred sixty-eight million, one hundred eighty-two thousand, six hundred thirty-two".