682181136 has 480 divisors, whose sum is σ = 2556919680. Its totient is φ = 172440576.

The previous prime is 682181063. The next prime is 682181141. The reversal of 682181136 is 631181286.

It is a super-2 number, since 2×682181136² = 930742204628500992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 682181136.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10181775 + ... + 10181841.

It is an arithmetic number, because the mean of its divisors is an integer number (5326916).

Almost surely, 2^682181136 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 682181136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278459840).

682181136 is an abundant number, since it is smaller than the sum of its proper divisors (1874738544).

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

682181136 is a wasteful number, since it uses less digits than its factorization.

682181136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 682181136 is about 26118.5975121177. The cubic root of 682181136 is about 880.3051352306.

The spelling of 682181136 in words is "six hundred eighty-two million, one hundred eighty-one thousand, one hundred thirty-six".