683432640 has 672 divisors, whose sum is σ = 2875751424. Its totient is φ = 152616960.

The previous prime is 683432599. The next prime is 683432671. The reversal of 683432640 is 46234386.

It is a happy number.

683432640 is a `hidden beast` number, since 6 + 8 + 3 + 4 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 683432595 and 683432604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14541097 + ... + 14541143.

It is an arithmetic number, because the mean of its divisors is an integer number (4279392).

Almost surely, 2^683432640 is an apocalyptic number.

683432640 is a gapful number since it is divisible by the number (60) 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 683432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437875712).

683432640 is an abundant number, since it is smaller than the sum of its proper divisors (2192318784).

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

683432640 is a wasteful number, since it uses less digits than its factorization.

683432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 683432640 is about 26142.5446351345. The cubic root of 683432640 is about 880.8431313286.

The spelling of 683432640 in words is "six hundred eighty-three million, four hundred thirty-two thousand, six hundred forty".