682268832 has 240 divisors, whose sum is σ = 2369106432. Its totient is φ = 188490240.

The previous prime is 682268827. The next prime is 682268833. The reversal of 682268832 is 238862286.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682268833) 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 39 ways as a sum of consecutive naturals, for example, 561858 + ... + 563070.

Almost surely, 2^682268832 is an apocalyptic number.

682268832 is a gapful number since it is divisible by the number (62) 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 682268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184553216).

682268832 is an abundant number, since it is smaller than the sum of its proper divisors (1686837600).

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

682268832 is a wasteful number, since it uses less digits than its factorization.

682268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1256 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 682268832 is about 26120.2762619387. The cubic root of 682268832 is about 880.3428553840.

The spelling of 682268832 in words is "six hundred eighty-two million, two hundred sixty-eight thousand, eight hundred thirty-two".